| Year |
Citation |
Score |
| 2022 |
Lin Q, Liu X, Titi ES. On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3 Primitive Equations. Journal of Mathematical Fluid Mechanics : Jmfm. 24: 73. PMID 35722205 DOI: 10.1007/s00021-022-00705-3 |
0.397 |
|
| 2022 |
Bardos CW, Titi ES. boundary regularity for the pressure in weak solutions of the 2 Euler equations. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 380: 20210073. PMID 35034497 DOI: 10.1098/rsta.2021.0073 |
0.372 |
|
| 2020 |
García-Archilla B, Novo J, Titi ES. Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations Siam Journal On Numerical Analysis. 58: 410-429. DOI: 10.1137/19M1246845 |
0.418 |
|
| 2020 |
Hittmeir S, Klein R, Li J, Titi ES. Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes Nonlinearity. 33: 3206-3236. DOI: 10.1088/1361-6544/Ab834F |
0.453 |
|
| 2020 |
Cao C, Li J, Titi ES. Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity Physica D: Nonlinear Phenomena. 412: 132606. DOI: 10.1016/J.Physd.2020.132606 |
0.452 |
|
| 2020 |
Cao C, Guo Y, Titi ES. Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation Journal of Differential Equations. 269: 8736-8769. DOI: 10.1016/J.Jde.2020.06.033 |
0.411 |
|
| 2020 |
Hoang LT, Titi ES. Asymptotic expansions in time for rotating incompressible viscous fluids Annales De L'Institut Henri Poincaré C, Analyse Non LinéAire. DOI: 10.1016/J.Anihpc.2020.06.005 |
0.536 |
|
| 2020 |
Luo T, Titi ES. Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Equations -- On Sharpness of J.-L. Lions Exponent Calculus of Variations and Partial Differential Equations. 59. DOI: 10.1007/S00526-020-01742-4 |
0.499 |
|
| 2020 |
Liu X, Titi ES. Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data Archive For Rational Mechanics and Analysis. 238: 705-747. DOI: 10.1007/S00205-020-01553-Z |
0.539 |
|
| 2020 |
Liu X, Titi ES. Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows Journal of Mathematical Fluid Mechanics. 22: 39. DOI: 10.1007/S00021-020-0491-9 |
0.527 |
|
| 2020 |
Cao C, Lin Q, Titi ES. On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation Journal of Mathematical Fluid Mechanics. 22: 32. DOI: 10.1007/S00021-020-00495-6 |
0.43 |
|
| 2019 |
Bardos C, Gwiazda P, Świerczewska-Gwiazda A, Titi ES, Wiedemann E. Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws. Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 475: 20190289. PMID 31736643 DOI: 10.1098/Rspa.2019.0289 |
0.312 |
|
| 2019 |
Titi ES, Trabelsi S. Global Well-Posedness of a 3D MHD Model in Porous Media The Journal of Geometric Mechanics. 11: 621-637. DOI: 10.3934/Jgm.2019031 |
0.56 |
|
| 2019 |
Celik E, Olson E, Titi ES. Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm Siam Journal On Applied Dynamical Systems. 18: 1118-1142. DOI: 10.1137/18M1218480 |
0.369 |
|
| 2019 |
Liu X, Titi ES. Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities Siam Journal On Mathematical Analysis. 51: 1913-1964. DOI: 10.1137/18M1211994 |
0.529 |
|
| 2019 |
Ibdah HA, Mondaini CF, Titi ES. Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates Ima Journal of Numerical Analysis. DOI: 10.1093/Imanum/Drz043 |
0.313 |
|
| 2019 |
Li J, Titi ES. The primitive equations as the small aspect ratio limit of the Navier–Stokes equations: Rigorous justification of the hydrostatic approximation Journal De MathéMatiques Pures Et AppliquéEs. 124: 30-58. DOI: 10.1016/J.Matpur.2018.04.006 |
0.515 |
|
| 2019 |
Biswas A, Foias C, Mondaini CF, Titi ES. Downscaling data assimilation algorithm with applications to statistical solutions of the Navier–Stokes equations Annales De L'Institut Henri Poincaré C, Analyse Non LinéAire. 36: 295-326. DOI: 10.1016/J.Anihpc.2018.05.004 |
0.732 |
|
| 2019 |
Jolly MS, Martinez VR, Olson EJ, Titi ES. Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation Chinese Annals of Mathematics, Series B. 40: 721-764. DOI: 10.1007/S11401-019-0158-0 |
0.459 |
|
| 2019 |
Jolly MS, Martinez VR, Sadigov T, Titi ES. A Determining Form for the Subcritical Surface Quasi-Geostrophic Equation Journal of Dynamics and Differential Equations. 31: 1457-1494. DOI: 10.1007/S10884-018-9652-4 |
0.546 |
|
| 2019 |
Bardos C, Gwiazda P, Świerczewska-Gwiazda A, Titi ES, Wiedemann E. On the Extension of Onsager's Conjecture for General Conservation Laws Journal of Nonlinear Science. 29: 501-510. DOI: 10.1007/S00332-018-9496-4 |
0.311 |
|
| 2019 |
Bardos C, Titi ES, Wiedemann E. Onsager’s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit Communications in Mathematical Physics. 370: 291-310. DOI: 10.1007/S00220-019-03493-6 |
0.458 |
|
| 2019 |
Desamsetti S, Dasari HP, Langodan S, Titi ES, Knio O, Hoteit I. Efficient Dynamical Downscaling of General Circulation Models Using Continuous Data Assimilation Quarterly Journal of the Royal Meteorological Society. 145: 3175-3194. DOI: 10.1002/Qj.3612 |
0.373 |
|
| 2018 |
Kalantarov VK, Titi ES. Global stabilization of the Navier-Stokes-Voight and the damped nonlinear wave equations by finite number of feedback controllers Discrete and Continuous Dynamical Systems-Series B. 23: 1325-1345. DOI: 10.3934/Dcdsb.2018153 |
0.503 |
|
| 2018 |
Mondaini CF, Titi ES. Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm Siam Journal On Numerical Analysis. 56: 78-110. DOI: 10.1137/16M110962X |
0.551 |
|
| 2018 |
Kostianko A, Titi E, Zelik S. Large dispersion, averaging and attractors: three 1D paradigms Nonlinearity. 31. DOI: 10.1088/1361-6544/Aae175 |
0.472 |
|
| 2018 |
Cao C, Guo Y, Titi ES. Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation Journal of Mathematical Physics. 59: 71503-71503. DOI: 10.1063/1.5022099 |
0.418 |
|
| 2018 |
Farhat A, Johnston H, Jolly MS, Titi ES. Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study Journal of Scientific Computing. 77: 1519-1533. DOI: 10.1007/S10915-018-0686-X |
0.718 |
|
| 2018 |
Bardos C, Titi ES. Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains Archive For Rational Mechanics and Analysis. 228: 197-207. DOI: 10.1007/S00205-017-1189-X |
0.328 |
|
| 2018 |
Larios A, Petersen MR, Titi ES, Wingate B. A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization Theoretical and Computational Fluid Dynamics. 32: 23-34. DOI: 10.1007/S00162-017-0434-0 |
0.812 |
|
| 2017 |
Lunasin E, Titi ES. Finite determining parameters feedback control for distributed nonlinear dissipative systems -a computational study Evolution Equations and Control Theory. 6: 535-557. DOI: 10.3934/Eect.2017027 |
0.808 |
|
| 2017 |
Jolly MS, Martinez VR, Titi ES. A data assimilation algorithm for the subcritical surface quasi-geostrophic equation Advanced Nonlinear Studies. 17. DOI: 10.1515/Ans-2016-6019 |
0.515 |
|
| 2017 |
Li J, Titi ES. Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data Siam Journal On Mathematical Analysis. 49: 1-28. DOI: 10.1137/15M1050513 |
0.475 |
|
| 2017 |
Hittmeir S, Klein R, Li J, Titi ES. Global well-posedness for passively transported nonlinear moisture dynamics with phase changes Nonlinearity. 30: 3676-3718. DOI: 10.1088/1361-6544/Aa82F1 |
0.43 |
|
| 2017 |
Cyranka J, Mucha PB, Titi ES, Zgliczyński P. Stabilizing the long-time behavior of the forced Navier-Stokes and damped Euler systems by large mean flow Physica D: Nonlinear Phenomena. 369: 18-29. DOI: 10.1016/J.Physd.2017.12.010 |
0.472 |
|
| 2017 |
Jolly MS, Sadigov T, Titi ES. Determining form and data assimilation algorithm for weakly damped and driven Korteweg–de Vries equation — Fourier modes case Nonlinear Analysis-Real World Applications. 36: 287-317. DOI: 10.1016/J.Nonrwa.2017.01.010 |
0.541 |
|
| 2017 |
Cao C, Li J, Titi ES. Strong solutions to the 3D primitive equations with only horizontal dissipation: near $H^1$ initial data Journal of Functional Analysis. 272: 4606-4641. DOI: 10.1016/J.Jfa.2017.01.018 |
0.418 |
|
| 2017 |
Altaf M, Titi ES, Gebrael T, Knio O, Zhao L, McCabe M, Hoteit I. Downscaling the 2D Bénard convection equations using continuous data assimilation Computational Geosciences. 21: 393-410. DOI: 10.1007/S10596-017-9619-2 |
0.517 |
|
| 2017 |
Foias C, Jolly MS, Lithio D, Titi ES. One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations Journal of Nonlinear Science. 27: 1513-1529. DOI: 10.1007/S00332-017-9375-4 |
0.669 |
|
| 2017 |
Farhat A, Lunasin E, Titi ES. Continuous Data Assimilation for a 2D Bénard Convection System Through Horizontal Velocity Measurements Alone Journal of Nonlinear Science. 27: 1065-1087. DOI: 10.1007/S00332-017-9360-Y |
0.812 |
|
| 2016 |
Gesho M, Olson E, Titi ES. A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations Communications in Computational Physics. 19: 1094-1110. DOI: 10.4208/Cicp.060515.161115A |
0.535 |
|
| 2016 |
Li J, Titi E. Global well-posedness of strong solutions to a tropical climate model Discrete and Continuous Dynamical Systems- Series A. 36: 4495-4516. DOI: 10.3934/Dcds.2016.36.4495 |
0.519 |
|
| 2016 |
Albanez DAF, Lopes HJN, Titi ES. Continuous data assimilation for the three-dimensional Navier-Stokes-α model Asymptotic Analysis. 97: 139-164. DOI: 10.3233/Asy-151351 |
0.573 |
|
| 2016 |
Li J, Titi ES, Xin Z. On the uniqueness of weak solutions to the Ericksen–Leslie liquid crystal model in ℝ2 Mathematical Models and Methods in Applied Sciences. DOI: 10.1142/S0218202516500184 |
0.352 |
|
| 2016 |
Foias C, Mondaini CF, Titi ES. A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics Siam Journal On Applied Dynamical Systems. 15: 2109-2142. DOI: 10.1137/16M1076526 |
0.692 |
|
| 2016 |
Li J, Titi ES. A tropical atmosphere model with moisture: global well-posedness and relaxation limit Nonlinearity. 29: 2674-2714. DOI: 10.1088/0951-7715/29/9/2674 |
0.412 |
|
| 2016 |
Markowich PA, Titi ES, Trabelsi S. Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model Nonlinearity. 29: 1292-1328. DOI: 10.1088/0951-7715/29/4/1292 |
0.472 |
|
| 2016 |
Guo Y, Hacinliyan I, Titi ES. Non-viscous regularization of the Davey-Stewartson equations: Analysis and modulation theory Journal of Mathematical Physics. 57: 81502-81502. DOI: 10.1063/1.4960047 |
0.513 |
|
| 2016 |
Farhat A, Lunasin E, Titi ES. Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements Journal of Mathematical Analysis and Applications. 438: 492-506. DOI: 10.1016/J.Jmaa.2016.01.072 |
0.796 |
|
| 2016 |
Li J, Titi ES. Global Well-Posedness of the 2D Boussinesq Equations with Vertical Dissipation Archive For Rational Mechanics and Analysis. 220: 983-1001. DOI: 10.1007/S00205-015-0946-Y |
0.503 |
|
| 2016 |
Farhat A, Lunasin E, Titi ES. Abridged Continuous Data Assimilation for the 2D Navier–Stokes Equations Utilizing Measurements of Only One Component of the Velocity Field Journal of Mathematical Fluid Mechanics. 18: 1-23. DOI: 10.1007/S00021-015-0225-6 |
0.828 |
|
| 2015 |
Guo Y, Simon K, Titi ES. Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello Communications in Mathematical Sciences. 13: 1261-1288. DOI: 10.4310/Cms.2015.V13.N5.A9 |
0.425 |
|
| 2015 |
Abu Hamed M, Guo Y, Titi ES. Inertial manifolds for certain subgrid-scale $\alpha$ models of turbulence Siam Journal On Applied Dynamical Systems. 14: 1308-1325. DOI: 10.1137/140987833 |
0.483 |
|
| 2015 |
Bessaih H, Olson E, Titi ES. Continuous data assimilation with stochastically noisy data Nonlinearity. 28: 723-759. DOI: 10.1088/0951-7715/28/3/729 |
0.49 |
|
| 2015 |
Guo Y, Titi ES. On the backward behavior of some dissipative evolution equations Physica D: Nonlinear Phenomena. 306: 34-47. DOI: 10.1016/J.Physd.2015.05.011 |
0.521 |
|
| 2015 |
Farhat A, Jolly MS, Titi ES. Continuous data assimilation for the 2D Bénard convection through velocity measurements alone Physica D: Nonlinear Phenomena. 303: 59-66. DOI: 10.1016/J.Physd.2015.03.011 |
0.708 |
|
| 2015 |
Lopes Filho MC, Nussenzveig Lopes HJ, Titi ES, Zang A. Convergence of the 2D Euler-α to Euler equations in the Dirichlet case: Indifference to boundary layers Physica D: Nonlinear Phenomena. 292: 51-61. DOI: 10.1016/J.Physd.2014.11.001 |
0.498 |
|
| 2015 |
Jolly MS, Sadigov T, Titi ES. A determining form for the damped driven nonlinear Schrödinger equation-Fourier modes case Journal of Differential Equations. 258: 2711-2744. DOI: 10.1016/J.Jde.2014.12.023 |
0.469 |
|
| 2015 |
Gérard P, Guo Y, Titi ES. On the radius of analyticity of solutions to the cubic Szego equation Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 32: 97-108. DOI: 10.1016/J.Anihpc.2013.11.001 |
0.433 |
|
| 2015 |
Cao C, Ibrahim S, Nakanishi K, Titi ES. Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics Communications in Mathematical Physics. DOI: 10.1007/S00220-015-2365-1 |
0.562 |
|
| 2015 |
Lopes Filho MC, Nussenzveig Lopes HJ, Titi ES, Zang A. Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions Journal of Mathematical Fluid Mechanics. 17: 327-340. DOI: 10.1007/S00021-015-0207-8 |
0.521 |
|
| 2015 |
Cao C, Li J, Titi ES. Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion Communications On Pure and Applied Mathematics. DOI: 10.1002/Cpa.21576 |
0.531 |
|
| 2014 |
Azouani A, Titi ES. Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm Evolution Equations and Control Theory. 3: 579-594. DOI: 10.3934/Eect.2014.3.579 |
0.467 |
|
| 2014 |
Foias C, Jolly MS, Kravchenko R, Titi ES. A unified approach to determining forms for the 2D Navier-Stokes equations - The general interpolants case Russian Mathematical Surveys. 69: 359-381. DOI: 10.1070/Rm2014V069N02Abeh004891 |
0.702 |
|
| 2014 |
Cao C, Li J, Titi ES. Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity Journal of Differential Equations. 257: 4108-4132. DOI: 10.1016/J.Jde.2014.08.003 |
0.536 |
|
| 2014 |
Guo Y, Rammaha MA, Sakuntasathien S, Titi ES, Toundykov D. Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping Journal of Differential Equations. 257: 3778-3812. DOI: 10.1016/J.Jde.2014.07.009 |
0.492 |
|
| 2014 |
Lopes Filho MC, Mazzucato AL, Niu D, Nussenzveig Lopes HJ, Titi ES. Planar Limits of Three-Dimensional Incompressible Flows with Helical Symmetry Journal of Dynamics and Differential Equations. 26: 843-869. DOI: 10.1007/S10884-014-9411-0 |
0.404 |
|
| 2014 |
Biswas A, Jolly MS, Martinez VR, Titi ES. Dissipation length scale estimates for turbulent flows: A Wiener algebra approach Journal of Nonlinear Science. 24: 441-471. DOI: 10.1007/S00332-014-9195-8 |
0.51 |
|
| 2014 |
Azouani A, Olson E, Titi ES. Continuous data assimilation using general interpolant observables Journal of Nonlinear Science. 24: 277-304. DOI: 10.1007/S00332-013-9189-Y |
0.467 |
|
| 2014 |
Cao C, Li J, Titi ES. Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity Archive For Rational Mechanics and Analysis. 214: 35-76. DOI: 10.1007/S00205-014-0752-Y |
0.521 |
|
| 2014 |
Larios A, Titi ES. Higher-order global regularity of an inviscid voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations Journal of Mathematical Fluid Mechanics. 16: 59-76. DOI: 10.1007/S00021-013-0136-3 |
0.805 |
|
| 2013 |
Cao C, Farhat A, Titi ES. Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model Communications in Information and Systems. 13: 97-122. DOI: 10.4310/Cis.2013.V13.N1.A4 |
0.768 |
|
| 2013 |
Bardos C, Lopes Filho MC, Niu D, Nussenzveig Lopes HJ, Titi ES. Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking Siam Journal On Mathematical Analysis. 45: 1871-1885. DOI: 10.1137/120862569 |
0.524 |
|
| 2013 |
Bardos CW, Titi ES. Mathematics and turbulence: Where do we stand? Journal of Turbulence. 14: 42-76. DOI: 10.1080/14685248.2013.771838 |
0.355 |
|
| 2013 |
Lowengrub J, Titi ES, Zhao K. Analysis of a mixture model of tumor growth European Journal of Applied Mathematics. 24: 691-734. DOI: 10.1017/S0956792513000144 |
0.419 |
|
| 2013 |
Larios A, Lunasin E, Titi ES. Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion Journal of Differential Equations. 255: 2636-2654. DOI: 10.1016/J.Jde.2013.07.011 |
0.808 |
|
| 2013 |
Biferale L, Titi ES. On the Global Regularity of a Helical-Decimated Version of the 3D Navier-Stokes Equations Journal of Statistical Physics. 151: 1089-1098. DOI: 10.1007/S10955-013-0746-4 |
0.524 |
|
| 2013 |
Gibbon JD, Titi ES. The 3D incompressible euler equations with a passive scalar: A road to blow-up? Journal of Nonlinear Science. 23: 993-1000. DOI: 10.1007/S00332-013-9175-4 |
0.504 |
|
| 2012 |
Doering CR, Kukavica I, Titi ES. Introduction to special issue: Incompressible fluids, turbulence and mixing Journal of Mathematical Physics. 53. DOI: 10.1063/1.4766963 |
0.596 |
|
| 2012 |
Foias C, Jolly MS, Kravchenko R, Titi ES. A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes case Journal of Mathematical Physics. 53. DOI: 10.1063/1.4766459 |
0.659 |
|
| 2012 |
Farhat A, Lee Panetta R, Titi ES, Ziane M. Long-time behavior of a two-layer model of baroclinic quasi-geostrophic turbulence Journal of Mathematical Physics. 53. DOI: 10.1063/1.4730042 |
0.739 |
|
| 2012 |
Bardos C, Titi ES, Wiedemann E. The vanishing viscosity as a selection principle for the Euler equations: The case of 3D shear flow Comptes Rendus Mathematique. 350: 757-760. DOI: 10.1016/J.Crma.2012.09.005 |
0.566 |
|
| 2012 |
Cao C, Farhat A, Titi ES. Global Well-Posedness of an Inviscid Three-Dimensional Pseudo-Hasegawa-Mima Model Communications in Mathematical Physics. 1-35. DOI: 10.1007/S00220-012-1626-5 |
0.745 |
|
| 2012 |
Cao C, Titi ES. Global Well-Posedness of the 3D Primitive Equations with Partial Vertical Turbulence Mixing Heat Diffusion Communications in Mathematical Physics. 310: 537-568. DOI: 10.1007/S00220-011-1409-4 |
0.556 |
|
| 2011 |
Artstein Z, William Gear C, Kefrekidis IG, Slemrod M, Titi ES. Analysis and computation of a discrete kdv-burgers type equation with fast dispersion and slow diffusion Siam Journal On Numerical Analysis. 49: 2124-2143. DOI: 10.1137/090768850 |
0.482 |
|
| 2011 |
Hayden K, Olson E, Titi ES. Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations Physica D: Nonlinear Phenomena. 240: 1416-1425. DOI: 10.1016/J.Physd.2011.04.021 |
0.541 |
|
| 2011 |
Cao C, Titi ES. Global Regularity Criterion for the 3D Navier-Stokes Equations Involving One Entry of the Velocity Gradient Tensor Archive For Rational Mechanics and Analysis. 202: 919-932. DOI: 10.1007/S00205-011-0439-6 |
0.542 |
|
| 2011 |
Babin AV, Ilyin AA, Titi ES. On the regularization mechanism for the periodic Korteweg-de Vries equation Communications On Pure and Applied Mathematics. 64: 591-648. DOI: 10.1002/Cpa.20356 |
0.459 |
|
| 2010 |
Levant B, Ramos F, Titi ES. On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model Communications in Mathematical Sciences. 8: 277-293. DOI: 10.4310/Cms.2010.V8.N1.A14 |
0.418 |
|
| 2010 |
Bardos C, Titi ES. Loss of smoothness and energy conserving rough weak solutions for the 3D euler equations Discrete and Continuous Dynamical Systems - Series S. 3: 185-197. DOI: 10.3934/Dcdss.2010.3.185 |
0.576 |
|
| 2010 |
Larios A, Titi ES. On the higher-order global regularity of the inviscid voigt-regularization of three-dimensional hydrodynamic models Discrete and Continuous Dynamical Systems - Series B. 14: 603-627. DOI: 10.3934/Dcdsb.2010.14.603 |
0.842 |
|
| 2010 |
Ramos F, Titi ES. Invariant measures for the 3D navier-stokes-voigt equations and their navier-stokes limit Discrete and Continuous Dynamical Systems. 28: 375-403. DOI: 10.3934/Dcds.2010.28.375 |
0.59 |
|
| 2010 |
Bessaih H, Flandoli F, Titi ES. Stochastic Attractors for Shell Phenomenological Models of Turbulence Journal of Statistical Physics. 140: 688-717. DOI: 10.1007/S10955-010-0010-0 |
0.443 |
|
| 2010 |
Linshiz JS, Titi ES. On the convergence rate of the Euler-α, an inviscid second-grade complex fluid, model to the Euler equations Journal of Statistical Physics. 138: 305-332. DOI: 10.1007/S10955-009-9916-9 |
0.562 |
|
| 2010 |
Bardos C, Linshiz JS, Titi ES. Global regularity and convergence of a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the two-dimensional Euler equations Communications On Pure and Applied Mathematics. 63: 697-746. DOI: 10.1002/Cpa.20305 |
0.553 |
|
| 2009 |
Ettinger B, Titi ES. Global existence and uniqueness of weak solutions of three-dimensional euler equations with helical symmetry in the absence of vorticity stretching Siam Journal On Mathematical Analysis. 41: 269-296. DOI: 10.1137/08071572X |
0.548 |
|
| 2009 |
Cao Y, Titi ES. On the rate of convergence of the two-dimensional -models of turbulence to the navier-stokes equations Numerical Functional Analysis and Optimization. 30: 1231-1271. DOI: 10.1080/01630560903439189 |
0.723 |
|
| 2009 |
Cao Y, Musslimani ZH, Titi ES. Modulation theory for self-focusing in the nonlinear schrodinger-helmholtz equation Numerical Functional Analysis and Optimization. 30: 46-69. DOI: 10.1080/01630560802679398 |
0.701 |
|
| 2009 |
Bennis AC, Lewandowski R, Titi ES. Simulations of turbulent ocean flow using a deconvolution model Comptes Rendus Mathematique. 347: 445-450. DOI: 10.1016/J.Crma.2009.01.027 |
0.412 |
|
| 2009 |
Kalantarov VK, Titi ES. Global attractors and determining modes for the 3D Navier-Stokes-Voight equations Chinese Annals of Mathematics. Series B. 30: 697-714. DOI: 10.1007/S11401-009-0205-3 |
0.598 |
|
| 2009 |
Kalantarov VK, Levant B, Titi ES. Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations Journal of Nonlinear Science. 19: 133-152. DOI: 10.1007/S00332-008-9029-7 |
0.552 |
|
| 2009 |
Bardos C, Frisch U, Pauls W, Ray SS, Titi ES. Entire solutions of hydrodynamical equations with exponential dissipation Communications in Mathematical Physics. 293: 519-543. DOI: 10.1007/S00220-009-0916-Z |
0.497 |
|
| 2008 |
Kupferman R, Mangoubi C, Titi ES. A Beale-Kato-Majda breakdown criterion for an Oldroyd-B fluid in the creeping flow regime Communications in Mathematical Sciences. 6: 235-256. DOI: 10.4310/Cms.2008.V6.N1.A12 |
0.454 |
|
| 2008 |
Cao C, Titi ES. Regularity criteria for the three-dimensional Navier-Stokes equations Indiana University Mathematics Journal. 57: 2643-2661. DOI: 10.1512/Iumj.2008.57.3719 |
0.535 |
|
| 2008 |
Lunasin E, Kurien S, Titi ES. Spectral scaling of the Leray-α model for two-dimensional turbulence Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/34/344014 |
0.782 |
|
| 2008 |
Geurts BJ, Kuczaj AK, Titi ES. Regularization modeling for large-eddy simulation of homogeneous isotropic decaying turbulence Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/34/344008 |
0.428 |
|
| 2008 |
Cao Y, Musslimani ZH, Titi ES. Nonlinear Schrödinger-Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation Nonlinearity. 21: 879-898. DOI: 10.1088/0951-7715/21/5/001 |
0.736 |
|
| 2008 |
Cao C, Qin J, Titi ES. Regularity criterion for solutions of three-dimensional Turbulent channel flows Communications in Partial Differential Equations. 33: 419-428. DOI: 10.1080/03605300701454859 |
0.521 |
|
| 2008 |
Bardos C, Linshiz JS, Titi ES. Global regularity for a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the 2D Euler equations Physica D: Nonlinear Phenomena. 237: 1905-1911. DOI: 10.1016/J.Physd.2008.01.003 |
0.494 |
|
| 2008 |
Katriel G, Kupferman R, Titi ES. Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids Journal of Differential Equations. 245: 2771-2784. DOI: 10.1016/J.Jde.2007.11.014 |
0.472 |
|
| 2008 |
Olson E, Titi ES. Determining modes and Grashof number in 2D turbulence: A numerical case study Theoretical and Computational Fluid Dynamics. 22: 327-339. DOI: 10.1007/S00162-008-0086-1 |
0.486 |
|
| 2008 |
Ilyin AA, Titi ES. The damped-driven 2D Navier-Stokes system on large elongated domains Journal of Mathematical Fluid Mechanics. 10: 159-175. DOI: 10.1007/S00021-006-0226-6 |
0.391 |
|
| 2008 |
Khouider B, Titi ES. An inviscid regularization for the surface quasi-geostrophic equation Communications On Pure and Applied Mathematics. 61: 1331-1346. DOI: 10.1002/Cpa.20218 |
0.578 |
|
| 2007 |
Constantin P, Levant B, Titi ES. Regularity of inviscid shell models of turbulence. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 75: 016304. PMID 17358250 DOI: 10.1103/Physreve.75.016304 |
0.457 |
|
| 2007 |
Ilyin AA, Titi ES. On the domain of analyticity and small scales for the solutions of the damped-driven 2D Navier-Stokes equations Dynamics of Partial Differential Equations. 4: 111-127. DOI: 10.4310/Dpde.2007.V4.N2.A1 |
0.56 |
|
| 2007 |
Cao C, Titi ES. Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics Annals of Mathematics. 166: 245-267. DOI: 10.4007/Annals.2007.166.245 |
0.537 |
|
| 2007 |
Artstein Z, Linshiz J, Titi ES. Young measure approach to computing slowly advancing fast oscillations Multiscale Modeling and Simulation. 6: 1085-1097. DOI: 10.1137/070687219 |
0.391 |
|
| 2007 |
Benzi R, Levant B, Procaccia I, Titi ES. Statistical properties of nonlinear shell models of turbulence from linear advection models: Rigorous results Nonlinearity. 20: 1431-1441. DOI: 10.1088/0951-7715/20/6/006 |
0.375 |
|
| 2007 |
Artstein Z, Kevrekidis IG, Slemrod M, Titi ES. Slow observables of singularly perturbed differential equations Nonlinearity. 20: 2463-2481. DOI: 10.1088/0951-7715/20/11/001 |
0.401 |
|
| 2007 |
Lunasin E, Kurien S, Taylor MA, Titi ES. A study of the Navier-Stokes-α model for two-dimensional turbulence Journal of Turbulence. 8: 1-21. DOI: 10.1080/14685240701439403 |
0.79 |
|
| 2007 |
Vishik MI, Titi ES, Chepyzhov VV. On convergence of trajectory attractors of the 3D Navier-Stokes-α model as a approaches 0 Sbornik Mathematics. 198: 1703-1736. DOI: 10.1070/Sm2007V198N12Abeh003902 |
0.683 |
|
| 2007 |
Bardos C, Titi ES. Euler equations for incompressible ideal fluids Russian Mathematical Surveys. 62: 409-451. DOI: 10.1070/Rm2007V062N03Abeh004410 |
0.448 |
|
| 2007 |
Chernyshenko SI, Constantin P, Robinson JC, Titi ES. A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations Journal of Mathematical Physics. 48. DOI: 10.1063/1.2372512 |
0.559 |
|
| 2007 |
Linshiz JS, Titi ES. Analytical study of certain magnetohydrodynamic- α models Journal of Mathematical Physics. 48. DOI: 10.1063/1.2360145 |
0.535 |
|
| 2007 |
Olson E, Titi ES. Viscosity versus vorticity stretching: Global well-posedness for a family of Navier-Stokes-alpha-like models Nonlinear Analysis, Theory, Methods and Applications. 66: 2427-2458. DOI: 10.1016/J.Na.2006.03.030 |
0.505 |
|
| 2007 |
Constantin P, Levant B, Titi ES. Sharp lower bounds for the dimension of the global attractor of the Sabra shell model of turbulence Journal of Statistical Physics. 127: 1173-1192. DOI: 10.1007/S10955-007-9317-X |
0.355 |
|
| 2007 |
Constantin P, Fefferman C, Titi ES, Zarnescu A. Regularity of coupled two-dimensional nonlinear fokker-planck and navier-stokes systems Communications in Mathematical Physics. 270: 789-811. DOI: 10.1007/S00220-006-0183-1 |
0.332 |
|
| 2007 |
Chepyzhov VV, Titi ES, Vishik MI. On the convergence of solutions of the Leray-α model to the trajectory attractor of the 3D Navier-stokes system Discrete and Continuous Dynamical Systems. 17: 481-500. |
0.671 |
|
| 2006 |
Cao Y, Lunasin EM, Titi ES. Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models Communications in Mathematical Sciences. 4: 823-848. DOI: 10.4310/Cms.2006.V4.N4.A8 |
0.793 |
|
| 2006 |
Chepyzhov VV, Titi ES, Vishik MI. On the convergence of solutions of the Leray-$\alpha $ model to the trajectory attractor of the 3D Navier-Stokes system Discrete and Continuous Dynamical Systems. 17: 481-500. DOI: 10.3934/Dcds.2007.17.481 |
0.35 |
|
| 2006 |
Ilyin AA, Lunasin EM, Titi ES. A modified-Leray-α subgrid scale model of turbulence Nonlinearity. 19: 879-897. DOI: 10.1088/0951-7715/19/4/006 |
0.781 |
|
| 2006 |
Constantin P, Levant B, Titi ES. Analytic study of shell models of turbulence Physica D: Nonlinear Phenomena. 219: 120-141. DOI: 10.1016/J.Physd.2006.05.015 |
0.425 |
|
| 2006 |
Cao Y, Titi ES. Trivial stationary solutions to the Kuramoto-Sivashinsky and certain nonlinear elliptic equations Journal of Differential Equations. 231: 755-767. DOI: 10.1016/J.Jde.2006.08.002 |
0.667 |
|
| 2006 |
Ilyin AA, Titi ES. Sharp estimates for the number of degrees of freedom for the damped-driven 2-D Navier-Stokes equations Journal of Nonlinear Science. 16: 233-253. DOI: 10.1007/S00332-005-0720-7 |
0.441 |
|
| 2005 |
Constantin P, Titi ES, Vukadinovic J. Dissipativity and Gevrey regularity of a Smoluchowski equation Indiana University Mathematics Journal. 54: 949-969. DOI: 10.1512/Iumj.2005.54.2653 |
0.832 |
|
| 2005 |
Cheskidov A, Holm DD, Olson E, Titi ES. On a Leray-α model of turbulence Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 461: 629-649. DOI: 10.1098/Rspa.2004.1373 |
0.735 |
|
| 2005 |
Cao C, Holm DD, Titi ES. On the Clark-α model of turbulence: Global regularity and long-time dynamics Journal of Turbulence. 6. DOI: 10.1080/14685240500183756 |
0.452 |
|
| 2005 |
Vishik MI, Titi ES, Chepyzhov VV. Trajectory attractor approximation of the 3D Navier-Stokes system by a Leray α-model Doklady Akademii Nauk. 400: 583-586. |
0.647 |
|
| 2005 |
Vishik MI, Titi ES, Chepyzhov VV. Trajectory attractor approximation of the 3D navier-stokes system by a leray-α model Doklady Mathematics. 71: 92-95. |
0.644 |
|
| 2004 |
Ilyin AA, Miranville A, Titi ES. Small viscosity sharp estimates for the global attractor of the 2-D damped-driven Navier-Stokes equations Communications in Mathematical Sciences. 2: 403-426. DOI: 10.4310/Cms.2004.V2.N3.A4 |
0.523 |
|
| 2004 |
Constantin P, Kevrekidis I, Titi ES. Remarks on a Smoluchowski equation Discrete and Continuous Dynamical Systems. 11: 101-112. DOI: 10.3934/Dcds.2004.11.101 |
0.467 |
|
| 2004 |
Cao C, Titi ES, Ziane M. A 'horizontal' hyper-diffusion three-dimensional thermocline planetary geostrophic model: Well-posedness and long-time behaviour Nonlinearity. 17: 1749-1776. DOI: 10.1088/0951-7715/17/5/011 |
0.419 |
|
| 2004 |
Cao C, Holm DD, Titi ES. Traveling Wave Solutions for a Class of One-Dimensional Nonlinear Shallow Water Wave Models Journal of Dynamics and Differential Equations. 16: 167-178. DOI: 10.1023/B:Jody.0000041284.26400.D0 |
0.329 |
|
| 2004 |
Constantin P, Kevrekidis IG, Titi ES. Asymptotic States of a Smoluchowski Equation Archive For Rational Mechanics and Analysis. 174: 365-384. DOI: 10.1007/S00205-004-0331-8 |
0.437 |
|
| 2004 |
Constantin P, Kevrekidis I, Titi ES. Remarks on a Smoluchowski equation Discrete and Continuous Dynamical Systems. 11: 101-112. |
0.362 |
|
| 2003 |
Margolin LG, Titi ES, Wynne S. The postprocessing Galerkin and nonlinear Galerkin methods - A truncation analysis point of view Siam Journal On Numerical Analysis. 41: 695-714. DOI: 10.1137/S0036142901390500 |
0.485 |
|
| 2003 |
Bellout H, Benachour S, Titi ES. Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations Nonlinearity. 16: 1967-1989. DOI: 10.1088/0951-7715/16/6/305 |
0.536 |
|
| 2003 |
Ilyin AA, Titi ES. Attractors for the Two-Dimensional Navier–Stokes-α Model: An α-Dependence Study Journal of Dynamics and Differential Equations. 15: 751-778. DOI: 10.1023/B:Jody.0000010064.06851.Ff |
0.425 |
|
| 2003 |
Olson E, Titi ES. Determining modes for continuous data assimilation in 2D turbulence Journal of Statistical Physics. 113: 799-840. DOI: 10.1023/A:1027312703252 |
0.375 |
|
| 2003 |
Chung Y, Titi ES. Inertial manifolds and gevrey regularity for the moore-greitzer model of an axial-flow compressor Journal of Nonlinear Science. 13: 1-25. DOI: 10.1007/S00332-002-0516-Y |
0.516 |
|
| 2003 |
Cao C, Titi ES. Global Well-Posedness and Finite-Dimensional Global Attractor for a 3-D Planetary Geostrophic Viscous Model Communications On Pure and Applied Mathematics. 56: 0198-0233. DOI: 10.1002/Cpa.10056 |
0.47 |
|
| 2002 |
Kevrekidis PG, Kevrekidis IG, Bishop AR, Titi ES. Continuum approach to discreteness. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 65: 046613. PMID 12006053 DOI: 10.1103/Physreve.65.046613 |
0.465 |
|
| 2002 |
Foias C, Holm DD, Titi ES. The Three Dimensional Viscous Camassa-Holm Equations, and Their Relation to the Navier-Stokes Equations and Turbulence Theory Journal of Dynamics and Differential Equations. 14: 1-35. DOI: 10.1023/A:1012984210582 |
0.737 |
|
| 2002 |
García-Archilla B, Novo J, Titi ES. Postprocessing Fourier spectral methods: The case of smooth solutions Applied Numerical Mathematics. 43: 191-209. DOI: 10.1016/S0168-9274(01)00134-9 |
0.386 |
|
| 2001 |
Foias C, Jolly MS, Kukavica I, Titi ES. The Lorenz equation as a metaphor for the Navier-Stokes equations Discrete and Continuous Dynamical Systems. 7: 403-429. DOI: 10.3934/Dcds.2001.7.403 |
0.796 |
|
| 2001 |
Cao C, Kevrekidis IG, Titi ES. Numerical criterion for the stabilization of steady states of the Navier-Stokes equations Indiana University Mathematics Journal. 50: 37-96. DOI: 10.1512/Iumj.2001.50.2154 |
0.449 |
|
| 2001 |
Foias C, Holm DD, Titi ES. The Navier-Stokes-alpha model of fluid turbulence Physica D: Nonlinear Phenomena. 152: 505-519. DOI: 10.1016/S0167-2789(01)00191-9 |
0.645 |
|
| 2001 |
Novo J, Titi ES, Wynne S. Efficient methods using high accuracy approximate inertial manifolds Numerische Mathematik. 87: 523-554. DOI: 10.1007/Pl00005423 |
0.37 |
|
| 2001 |
Oliver M, Titi ES. On the domain of analyticity for solutions of second order analytic nonlinear differential equations Journal of Differential Equations. 174: 55-74. DOI: 10.1006/Jdeq.2000.3927 |
0.532 |
|
| 2001 |
Cao C, Kevrekidis IG, Titi ES. Numerical criterion for the stabilization of steady states of the Navier-Stokes equations Indiana University Mathematics Journal. 50: 37-95. |
0.343 |
|
| 2000 |
Cao C, Rammaha MA, Titi ES. Gevrey regularity for nonlinear analytic parabolic equations on the sphere Journal of Dynamics and Differential Equations. 12: 411-433. DOI: 10.1023/A:1009072526324 |
0.552 |
|
| 2000 |
Shvartsman SY, Theodoropoulos C, Rico-Martínez R, Kevrekidis IG, Titi ES, Mountziaris TJ. Order reduction for nonlinear dynamic models of distributed reacting systems Journal of Process Control. 10: 177-184. DOI: 10.1016/S0959-1524(99)00029-3 |
0.375 |
|
| 2000 |
Oliver M, Titi ES. Remark on the Rate of Decay of Higher Order Derivatives for Solutions to the Navier-Stokes Equations in <of>R</of>n Journal of Functional Analysis. 172: 1-8. DOI: 10.1006/Jfan.1999.3550 |
0.524 |
|
| 2000 |
Oliver M, Titi ES. Gevrey Regularity for the Attractor of a Partially Dissipative Model of Bénard Convection in a Porous Medium Journal of Differential Equations. 163: 292-311. DOI: 10.1006/Jdeq.1999.3744 |
0.586 |
|
| 1999 |
García-Archilla B, Novo J, Titi ES. An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations Mathematics of Computation. 68: 893-911. DOI: 10.1090/S0025-5718-99-01057-1 |
0.52 |
|
| 1999 |
Chen S, Foias C, Holm DD, Olson E, Titi ES, Wynne S. A connection between the Camassa-Holm equations and turbulent flows in channels and pipes Physics of Fluids. 11: 2343-2353. DOI: 10.1063/1.870096 |
0.687 |
|
| 1999 |
Chen S, Foias C, Holm DD, Olson E, Titi ES, Wynne S. The Camassa-Holm equations and turbulence Physica D: Nonlinear Phenomena. 133: 49-65. DOI: 10.1016/S0167-2789(99)00098-6 |
0.67 |
|
| 1999 |
Ly HV, Titi ES. Global gevrey regularity for the bénard convection in a porous medium with zero Darcy-Prandtl number Journal of Nonlinear Science. 9: 333-362. DOI: 10.1007/S003329900073 |
0.457 |
|
| 1999 |
Cao C, Rammaha MA, Titi ES. The Navier-Stokes equations on the rotating 2 - D sphere: Gevrey regularity and asymptotic degrees of freedom Zeitschrift Fur Angewandte Mathematik Und Physik. 50: 341-360. DOI: 10.1007/Pl00001493 |
0.563 |
|
| 1998 |
Oliver M, Titi ES. Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear schrödinger equation Indiana University Mathematics Journal. 47: 49-73. DOI: 10.1512/Iumj.1998.47.1465 |
0.499 |
|
| 1998 |
García-Archilla B, Novo J, Titi ES. Postprocessing the galerkin method: A novel approach to approximate inertial manifolds Siam Journal On Numerical Analysis. 35: 941-972. DOI: 10.1137/S0036142995296096 |
0.424 |
|
| 1998 |
Chen S, Foias C, Holm DD, Olson E, Titi ES, Wynne S. Camassa-Holm equations as a closure model for turbulent channel and pipe flow Physical Review Letters. 81: 5338-5341. DOI: 10.1103/Physrevlett.81.5338 |
0.664 |
|
| 1998 |
Ferrari AB, Titi ES. Gevrey regularity for nonlinear analytic parabolic equations Communications in Partial Differential Equations. 23: 1-16. DOI: 10.1080/03605309808821336 |
0.486 |
|
| 1998 |
Shvartsman S, Rico-Martínez R, Titi E, Theodoropoulos C, Mountziaris T, Kevrekidis I. Order Reduction of Nonlinear Dynamic Models for Distributed Reacting Systems Ifac Proceedings Volumes. 31: 637-644. DOI: 10.1016/S1474-6670(17)44998-6 |
0.376 |
|
| 1998 |
Jones DA, Stuart AM, Titi ES. Persistence of Invariant Sets for Dissipative Evolution Equations Journal of Mathematical Analysis and Applications. 219: 479-502. DOI: 10.1006/Jmaa.1997.5847 |
0.513 |
|
| 1997 |
Cockburn B, Jones DA, Titi ES. Estimating the number of asymptotic degrees of freedom for nonlinear dissipatlve systems Mathematics of Computation. 66: 1073-1087. DOI: 10.1090/S0025-5718-97-00850-8 |
0.552 |
|
| 1997 |
Gibbon JD, Titi ES. Attractor dimension and small length scale estimates for the three-dimensional Navier-Stokes equations Nonlinearity. 10: 109-119. DOI: 10.1088/0951-7715/10/1/007 |
0.478 |
|
| 1997 |
Ly HV, Mease KD, Titi ES. Distributed and boundary control of the viscous Burgers' equation Numerical Functional Analysis and Optimization. 18: 143-188. DOI: 10.1080/01630569708816752 |
0.418 |
|
| 1996 |
Levermore CD, Oliver M, Titi ES. Global well-posedness for models of shallow water in a basin with a varying bottom Indiana University Mathematics Journal. 45: 479-510. DOI: 10.1512/Iumj.1996.45.1199 |
0.547 |
|
| 1996 |
Takáč P, Bollerman P, Doelman A, Van Harten A, Titi ES. Analyticity of essentially bounded solutions to semilinear parabolic systems and validity of the Ginzburg-Landau equation Siam Journal On Mathematical Analysis. 27: 424-448. DOI: 10.1137/S0036141094262518 |
0.474 |
|
| 1996 |
Collet P, Titi ES. Determining nodes for extended dissipative systems Nonlinearity. 9: 1089-1097. DOI: 10.1088/0951-7715/9/5/002 |
0.311 |
|
| 1996 |
Constantin P, Doering CR, Titi ES. Rigorous estimates of small scales in turbulent flows Journal of Mathematical Physics. 37: 6152-6156. DOI: 10.1063/1.531769 |
0.4 |
|
| 1996 |
Levermore CD, Oliver M, Titi ES. Global well-posedness for the lake equations Physica D: Nonlinear Phenomena. 98: 492-509. DOI: 10.1016/0167-2789(96)00108-X |
0.536 |
|
| 1996 |
Duan J, Ly H, Titi ES. The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation Zamp Zeitschrift F�R Angewandte Mathematik Und Physik. 47: 432-455. DOI: 10.1007/Bf00916648 |
0.543 |
|
| 1996 |
Jones DA, Titi ES. C1 approximations of inertial manifolds for dissipative nonlinear equations Journal of Differential Equations. 127: 54-86. DOI: 10.1006/Jdeq.1996.0061 |
0.504 |
|
| 1996 |
Duan J, Van Ly H, Titi ES. The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation Zeitschrift Fur Angewandte Mathematik Und Physik. 47: 432-455. |
0.454 |
|
| 1995 |
Shao Z, Titi ES. Parameterizing the global attractor of the navier-stokes equations by nodal values Numerical Functional Analysis and Optimization. 16: 543-547. DOI: 10.1080/01630569508816631 |
0.469 |
|
| 1995 |
Doering CR, Titi ES. Exponential decay rate of the power spectrum for solutions of the Navier-Stokes equations Physics of Fluids. 7: 1384-1390. DOI: 10.1063/1.868526 |
0.48 |
|
| 1995 |
Jones DA, Margolin LG, Titi ES. On the effectiveness of the approximate inertial manifold-a computational study Theoretical and Computational Fluid Dynamics. 7: 243-260. DOI: 10.1007/Bf00312444 |
0.476 |
|
| 1994 |
Jones DA, Titi ES. A remark on quasi-stationary approximate inertial manifolds for the Navier-Stokes equations Siam Journal On Mathematical Analysis. 25: 894-914. DOI: 10.1137/S0036141092230428 |
0.448 |
|
| 1994 |
Foias C, Jolly MS, Kevrekidis IG, Titi ES. On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation Physics Letters A. 186: 87-96. DOI: 10.1016/0375-9601(94)90926-1 |
0.671 |
|
| 1994 |
Ponce G, Racke R, Sideris TC, Titi ES. Global stability of large solutions to the 3D Navier-Stokes equations Communications in Mathematical Physics. 159: 329-341. DOI: 10.1007/Bf02102642 |
0.53 |
|
| 1994 |
Constantin P, Weinan E, Titi ES. Onsager's conjecture on the energy conservation for solutions of Euler's equation Communications in Mathematical Physics. 165: 207-209. DOI: 10.1007/Bf02099744 |
0.464 |
|
| 1993 |
Aubry N, Lian W, Titi ES. Preserving Symmetries in the Proper Orthogonal Decomposition Siam Journal On Scientific Computing. 14: 483-505. DOI: 10.1137/0914030 |
0.525 |
|
| 1993 |
Devulder C, Marion M, Titi ES. On the rate of convergence of the nonlinear galerkin methods Mathematics of Computation. 60: 595-614. DOI: 10.1090/S0025-5718-1993-1160273-1 |
0.31 |
|
| 1993 |
Duan J, Titi ES, Holmes P. Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation Nonlinearity. 6: 915-933. DOI: 10.1088/0951-7715/6/6/005 |
0.546 |
|
| 1993 |
Doelman A, Titi ES. Regularity of Solutions and the Convergence of the Galerkin Method in the Ginzburg-Landau Equation Numerical Functional Analysis and Optimization. 14: 299-321. DOI: 10.1080/01630569308816523 |
0.53 |
|
| 1993 |
Berkooz G, Titi ES. Galerkin projections and the proper orthogonal decomposition for equivariant equations Physics Letters A. 174: 94-102. DOI: 10.1016/0375-9601(93)90549-F |
0.489 |
|
| 1993 |
Graham MD, Steen PH, Titi ES. Computational efficiency and approximate inertial manifolds for a Bénard convection system Journal of Nonlinear Science. 3: 153-167. DOI: 10.1007/Bf02429862 |
0.444 |
|
| 1992 |
Duan J, Holmes P, Titi ES. Global existence theory for a generalized Ginzburg-Landau equation Nonlinearity. 5: 1303-1314. DOI: 10.1088/0951-7715/5/6/005 |
0.519 |
|
| 1992 |
Jones DA, Titi ES. Determining finite volume elements for the 2D Navier-Stokes equations Physica D: Nonlinear Phenomena. 60: 165-174. DOI: 10.1016/0167-2789(92)90233-D |
0.525 |
|
| 1992 |
Jones DA, Titi ES. On the number of determining nodes for the 2D Navier-Stokes equations Journal of Mathematical Analysis and Applications. 168: 72-88. DOI: 10.1016/0022-247X(92)90190-O |
0.542 |
|
| 1991 |
Foias C, Jolly MS, Kevrekidis IG, Titi ES. Dissipativity of numerical schemes Nonlinearity. 4: 591-613. DOI: 10.1088/0951-7715/4/3/001 |
0.634 |
|
| 1991 |
Foias C, Titi ES. Determining nodes, finite difference schemes and inertial manifolds Nonlinearity. 4: 135-153. DOI: 10.1088/0951-7715/4/1/009 |
0.674 |
|
| 1991 |
Jolly MS, Kevrekidis IG, Titi ES. Preserving dissipation in approximate inertial forms for the Kuramoto-Sivashinsky equation Journal of Dynamics and Differential Equations. 3: 179-197. DOI: 10.1007/Bf01047708 |
0.535 |
|
| 1990 |
Jolly MS, Kevrekidis IG, Titi ES. Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations Physica D: Nonlinear Phenomena. 44: 38-60. DOI: 10.1016/0167-2789(90)90046-R |
0.377 |
|
| 1990 |
Titi ES. On approximate Inertial Manifolds to the Navier-Stokes equations Journal of Mathematical Analysis and Applications. 149: 540-557. DOI: 10.1016/0022-247X(90)90061-J |
0.546 |
|
| 1990 |
Mahalov A, Titi ES, Leibovich S. Invariant helical subspaces for the Navier-Stokes equations Archive For Rational Mechanics and Analysis. 112: 193-222. DOI: 10.1007/Bf00381234 |
0.555 |
|
| 1989 |
Foias C, Sell GR, Titi ES. Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations Journal of Dynamics and Differential Equations. 1: 199-244. DOI: 10.1007/Bf01047831 |
0.696 |
|
| 1988 |
Foias C, Jolly MS, Kevrekidis IG, Sell GR, Titi ES. On the computation of inertial manifolds Physics Letters A. 131: 433-436. DOI: 10.1016/0375-9601(88)90295-2 |
0.653 |
|
| 1988 |
Constantin P, Titi ES. On the evolution of nearly circular vortex patches Communications in Mathematical Physics. 119: 177-198. DOI: 10.1007/Bf01217737 |
0.552 |
|
| 1987 |
Titi ES. On a criterion for locating stable stationary solutions to the Navier-Stokes equations Nonlinear Analysis. 11: 1085-1102. DOI: 10.1016/0362-546X(87)90086-1 |
0.417 |
|
| Show low-probability matches. |