Ciprian Foias - Publications

Affiliations: 
Indiana University, Bloomington, Bloomington, IN, United States 
Area:
Mathematics

120 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
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  0.688
2019 Foias C, Rosa RMS, Temam RM. Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations Journal of Dynamics and Differential Equations. 31: 1689-1741. DOI: 10.1007/S10884-018-9719-2  0.473
2018 Foias C, Hoang L, Saut J. Navier and Stokes meet Poincare and Dulac Journal of Applied Analysis and Computation. 8: 727-763. DOI: 10.11948/2018.727  0.374
2017 Biswas A, Foias C, Nicolaenko B. Existence time for the 3D Navier–Stokes equations in a generalized Gevrey class Physica D: Nonlinear Phenomena. 5-14. DOI: 10.1016/J.Physd.2017.11.013  0.498
2017 Biswas A, Foias C, Larios A. On the attractor for the semi-dissipative Boussinesq equations Annales De L Institut Henri Poincare-Analyse Non Lineaire. 34: 381-405. DOI: 10.1016/J.Anihpc.2015.12.006  0.804
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  0.638
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  0.633
2016 Foias C, Tian J, Zhang B. On the emergence of the Navier-Stokes-α model for turbulent channel flows Journal of Mathematical Physics. 57: 81510. DOI: 10.1063/1.4960750  0.465
2015 Foias C, Rosa RMS, Temam RM. Convergence of Time Averages of Weak Solutions of the Three-Dimensional Navier–Stokes Equations Journal of Statistical Physics. DOI: 10.1007/S10955-015-1248-3  0.518
2014 Foias C, Jolly MS, Yang Y, Zhang B. On whether zero is in the global attractor of the 2D Navier-Stokes equations Nonlinearity. 27: 2755-2770. DOI: 10.1088/0951-7715/27/11/2755  0.516
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  0.676
2014 Biswas A, Foias C. On the maximal space analyticity radius for the 3D Navier-Stokes equations and energy cascades Annali Di Matematica Pura Ed Applicata. 193: 739-777. DOI: 10.1007/S10231-012-0300-Z  0.602
2013 Foias C, Rosa RMS, Temam R. Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations Annales De L'Institut Fourier. 63: 2515-2573. DOI: 10.5802/Aif.2836  0.466
2013 Foias C, Jolly MS, Yang M. On Single Mode Forcing of the 2D-NSE Journal of Dynamics and Differential Equations. 25: 393-433. DOI: 10.1007/S10884-013-9301-X  0.423
2012 Foias C, Jolly MS, Lan R, Rupam R, Yang Y, Zhang B. Time analyticity with higher norm estimates for the 2D Navier-Stokes equations Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 80: 766-810. DOI: 10.1093/Imamat/Hxu014  0.452
2012 Foias C, Sarkar J. Contractions with polynomial characteristic functions I. Geometric approach Transactions of the American Mathematical Society. 364: 4127-4153. DOI: 10.1090/S0002-9947-2012-05450-X  0.304
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  0.642
2011 Foias C, Hoang L, Saut JC. Asymptotic integration of Navier-Stokes equations with potential forces. II. An explicit Poincaré-Dulac normal form Journal of Functional Analysis. 260: 3007-3035. DOI: 10.1016/J.Jfa.2011.02.005  0.471
2010 Foias C, Rosa R, Temam R. Topological properties of the weak global attractor of the three-dimensional navier-stokes equations Discrete and Continuous Dynamical Systems. 27: 1611-1631. DOI: 10.3934/Dcds.2010.27.1611  0.499
2010 Nusret B, Foias C, Jolly MS, Rosa R. On universal relations in 2-d turbulence Discrete and Continuous Dynamical Systems. 27: 1327-1351. DOI: 10.3934/Dcds.2010.27.1327  0.317
2010 Balci N, Foias C, Jolly MS. 2-D turbulence for forcing in all scales Journal Des Mathematiques Pures Et Appliquees. 94: 1-32. DOI: 10.1016/J.Matpur.2009.11.007  0.33
2010 Bercovici H, Douglas RG, Foias C, Pearcy C. Confluent operator algebras and the closability property Journal of Functional Analysis. 258: 4122-4153. DOI: 10.1016/J.Jfa.2010.03.009  0.331
2010 Dascaliuc R, Foias C, Jolly MS. Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence Journal of Differential Equations. 248: 792-819. DOI: 10.1016/J.Jde.2009.11.020  0.453
2010 Foias C, Rosa RMS, Temam R. A note on statistical solutions of the three-dimensional Navier-Stokes equations: The stationary case Comptes Rendus Mathematique. 348: 347-353. DOI: 10.1016/J.Crma.2009.12.018  0.54
2010 Foias C, Rosa RMS, Temam R. A note on statistical solutions of the three-dimensional Navier-Stokes equations: The time-dependent case Comptes Rendus Mathematique. 348: 235-240. DOI: 10.1016/J.Crma.2009.12.017  0.524
2009 Dascaliuc R, Foias C, Jolly MS. On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows Physica D: Nonlinear Phenomena. 238: 725-736. DOI: 10.1016/J.Physd.2009.01.008  0.426
2009 Foias C, Hoang L, Olson E, Ziane M. The normal form of the Navier-Stokes equations in suitable normed spaces Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 26: 1635-1673. DOI: 10.1016/J.Anihpc.2008.09.003  0.463
2009 Foias C, Hoang L, Nicolaenko B. On the helicity in 3D-periodic Navier-stokes equations II: The statistical case Communications in Mathematical Physics. 290: 679-717. DOI: 10.1007/S00220-009-0827-Z  0.471
2008 Dascaliuc R, Foias C, Jolly MS. Some specific mathematical constraints on 2D turbulence Physica D: Nonlinear Phenomena. 237: 3020-3029. DOI: 10.1016/J.Physd.2008.07.004  0.412
2007 Foias C, Hoang L, Nicolaenko B. On the helicity in 3d-periodic navier-stokes equations I: The non-statistical case Proceedings of the London Mathematical Society. 94: 53-90. DOI: 10.1112/Plms/Pdl003  0.53
2007 Dascaliuc R, Foias C, Jolly MS. Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane Journal of Mathematical Physics. 48. DOI: 10.1063/1.2710349  0.454
2007 Foias C, Jung IB, Ko E, Pearcy C. On rank-one perturbations of normal operators Journal of Functional Analysis. 253: 628-646. DOI: 10.1016/J.Jfa.2007.09.007  0.319
2006 Foias C, Hoang L, Olson E, Ziane M. On the solutions to the normal form of the Navier-Stokes equations Indiana University Mathematics Journal. 55: 631-686. DOI: 10.1512/Iumj.2006.55.2830  0.544
2006 Cheskidov A, Foias C. On global attractors of the 3D Navier-Stokes equations Journal of Differential Equations. 231: 714-754. DOI: 10.1016/J.Jde.2006.08.021  0.764
2005 Foias C, Jolly MS, Manley OP, Rosa R, Temam R. Kolmogorov theory via finite-time averages Physica D: Nonlinear Phenomena. 212: 245-270. DOI: 10.1016/J.Physd.2005.10.002  0.433
2005 Foias C, Hamid S, Onica C, Pearcy C. On the hyperinvariant subspace problem III Journal of Functional Analysis. 222: 129-142. DOI: 10.1016/J.Jfa.2004.04.003  0.303
2005 Foias C, Jolly MS. On the behavior of the Lorenz equation backward in time Journal of Differential Equations. 208: 430-448. DOI: 10.1016/J.Jde.2003.11.005  0.503
2005 Foias C, Jolly MS, Manley OP. Kraichnan turbulence via finite time averages Communications in Mathematical Physics. 255: 329-361. DOI: 10.1007/S00220-007-0363-7  0.382
2004 Foias C, Jolly MS, Manley OP. Recurrence in the 2-D navier-stokes equations Discrete and Continuous Dynamical Systems. 10: 253-268.  0.311
2002 Foias C, Manley O, Rosa R, Temam R, Meng J. Navier-Stokes Equations and Turbulence. Encyclopedia of Math and its Applications, Vol. 83 Applied Mechanics Reviews. 55. DOI: 10.1115/1.1470686  0.467
2002 Foias C, Jolly MS, Li WS. Nevanlinna-Pick interpolation of attractors Nonlinearity. 15: 1881-1903. DOI: 10.1088/0951-7715/15/6/308  0.401
2002 Foias C, Jolly MS, Manley OP, Rosa R. Statistical estimates for the Navier-stokes equations and the Kraichnan theory of 2-D fully developed turbulence Journal of Statistical Physics. 108: 591-645. DOI: 10.1023/A:1015782025005  0.473
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  0.687
2002 Doering CR, Foias C. Energy dissipation in body-forced turbulence Journal of Fluid Mechanics. 467: 289-306. DOI: 10.1017/S0022112002001386  0.342
2002 Foias C, Frazho AE, Kaashoek MA. Contractive lifings and the commutator Comptes Rendus Mathematique. 335: 431-436. DOI: 10.1016/S1631-073X(02)02508-6  0.354
2002 Foias C, Frazho AE, Kaashoek MA. Relaxation of metric constrained interpolation and a new lifting theorem Integral Equations and Operator Theory. 42: 253-310. DOI: 10.1007/Bf01193630  0.382
2002 Foias C, Manley O, Rosa R, Temam R. Navier-Stokes equations and turbulence Physics Today. 55: 53.  0.379
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  0.757
2001 Foias C, Manley OP, Rosa RMS, Temam R. Estimates for the energy cascade in three-dimensional turbulent flows Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 333: 499-504. DOI: 10.1016/S0764-4442(01)02008-0  0.329
2001 Foias C, Manley OP, Rosa RMS, Temam R. Sur les cascades d'énergie en écoulements turbulents Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 332: 509-514. DOI: 10.1016/S0764-4442(01)01831-6  0.356
2001 Cheskidov A, Foias C. On the non-homogeneous stationary Kuramoto-Sivashinsky equation Physica D: Nonlinear Phenomena. 154: 1-14. DOI: 10.1016/S0167-2789(01)00219-6  0.753
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  0.56
2000 Foias C, Jolly MS, Manley OP. Limiting behavior for an iterated viscosity Mathematical Modelling and Numerical Analysis. 34: 353-376. DOI: 10.1051/M2An:2000145  0.467
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  0.588
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  0.593
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  0.576
1998 Eden A, Foias C, Kalantarov V. A remark on two constructions of exponential attractors for α-contractions Journal of Dynamics and Differential Equations. 10: 37-45. DOI: 10.1023/A:1022636328133  0.331
1998 Foias C, Frazho AE, Gohberg I, Kaashoek MA. The maximum principle for the three chains completion problem Integral Equations and Operator Theory. 30: 67-82. DOI: 10.1007/Bf01195877  0.327
1997 Constantin P, Foias C, Kukavica I, Majda AJ. Dirichlet quotients and 2D periodic Navier-Stokes equations Journal De MathéMatiques Pures Et AppliquéEs. 76: 125-153. DOI: 10.1016/S0021-7824(97)89948-5  0.696
1997 Foias C, Frazho AE, Gohberg I, Kaashoek MA. Parameterization of all solutions of the three chains completion problem Integral Equations and Operator Theory. 29: 455-490. DOI: 10.1007/Bf01193812  0.326
1997 Foias C, Frazho AE, Gohberg I, Kaashoek MA. A time-variant version of the commutant lifting theorem and nonstationary interpolation problems Integral Equations and Operator Theory. 28: 158-190. DOI: 10.1007/Bf01191816  0.327
1997 Constantin P, Foias C, Kukavica I, Majda AJ. Dirichlet quotients and 2D period Navier-Stokes equations Journal Des Mathematiques Pures Et Appliquees. 76: 125-153.  0.394
1996 Foias C, Jolly MS, Kukavica I. Localization of attractors by their analytic properties Nonlinearity. 9: 1565-1581. DOI: 10.1088/0951-7715/9/6/010  0.683
1996 Foias C, Frazho AE, Gohberg I, Kaashoek MA. Discrete time-variant interpolation as classical interpolation with an operator argument Integral Equations and Operator Theory. 26. DOI: 10.1007/Bf01309159  0.361
1995 Foias C, Gu C, Tannenbaum A. Nonlinear $H^\infty$ Optimization: A Causal Power Series Approach Siam Journal On Control and Optimization. 33: 185-207. DOI: 10.1137/S0363012992236164  0.321
1995 Foias C, Jolly MS. On the numerical algebraic approximation of global attractors Nonlinearity. 8: 295-319. DOI: 10.1088/0951-7715/8/3/001  0.339
1995 Foias C, Kukavica I. Determining nodes for the Kuramoto-Sivashinsky equation Journal of Dynamics and Differential Equations. 7: 365-373. DOI: 10.1007/Bf02219361  0.66
1995 Bercovici H, Constantin P, Foias C, Manley OP. Exponential decay of the power spectrum of turbulence Journal of Statistical Physics. 80: 579-602. DOI: 10.1007/Bf02178549  0.349
1995 Foias C, Gu C, Tannenbaum A. Nonlinearity in H∞-Control Theory, Causality in the Commutant Lifting Theorem, and Extension of Intertwining Operators Integral Equations and Operator Theory. 23: 155-167. DOI: 10.1007/978-3-0348-9106-6_10  0.311
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  0.646
1994 Eden A, Foias C, Nicolaenko B. Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations Journal of Dynamics and Differential Equations. 6: 301-323. DOI: 10.1007/Bf02218532  0.452
1994 Becker RA, Foias C. The local bifurcation of Ramsey equilibrium Economic Theory. 4: 719-744. DOI: 10.1007/Bf01212027  0.326
1994 Foias C, Gu CX, Tannenbaum A. On a Causal Linear Optimization Theorem Journal of Mathematical Analysis and Applications. 182: 555-565. DOI: 10.1006/Jmaa.1994.1103  0.301
1993 Foias C, Georgiou TT, Smith MC. Robust Stability of Feedback Systems: A Geometric Approach Using the Gap Metric Siam Journal On Control and Optimization. 31: 1518-1537. DOI: 10.1137/0331071  0.328
1993 Foias C, Manley OP, Temam R. Bounds for the mean dissipation of 2-D enstrophy and 3-D energy in turbulent flows Physics Letters A. 174: 210-215. DOI: 10.1016/0375-9601(93)90760-W  0.317
1993 Becker RA, Bercovici H, Foias C. Weak Pareto optimality and the approximate support property Journal of Mathematical Economics. 22: 61-71. DOI: 10.1016/0304-4068(93)90030-O  0.316
1993 Eden A, Foias C, Nicolaenko B, She ZS. Exponential attractors and their relevance to fluid dynamics systems Physica D: Nonlinear Phenomena. 63: 350-360. DOI: 10.1016/0167-2789(93)90116-I  0.433
1993 Foias C, Manley OP, Temam R. Iterated Approximate Inertial Manifolds for Navier-Stokes Equations in 2-D Journal of Mathematical Analysis and Applications. 178: 567-583. DOI: 10.1006/Jmaa.1993.1326  0.499
1993 Foias C, Tannenbaum A. Causality in Commutant Lifting Theory Journal of Functional Analysis. 118: 407-441. DOI: 10.1006/Jfan.1993.1149  0.317
1991 Bercovici H, Foias C, Tannenbaum A. A spectral commutant lifting theorem Transactions of the American Mathematical Society. 325: 741-763. DOI: 10.1090/S0002-9947-1991-1000144-9  0.331
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  0.602
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  0.618
1991 Foias C, Manley OP, Temam R. Approximate inertial manifolds and effective viscosity in turbulent flows Physics of Fluids A. 3: 898-911. DOI: 10.1063/1.858212  0.497
1991 Eden A, Foias C. A Simple proof of the generalized Lieb-Thirring inequalities in one-space dimension Journal of Mathematical Analysis and Applications. 162: 250-254. DOI: 10.1016/0022-247X(91)90191-2  0.312
1991 Bercovici H, Foias C, Tannenbaum A. On spectral tangential Nevanlinna-Pick interpolation Journal of Mathematical Analysis and Applications. 155: 156-176. DOI: 10.1016/0022-247X(91)90033-V  0.312
1991 Bercovici H, Foias C, Tannenbaum A. On the optimal solutions in spectral commutant lifting theory Journal of Functional Analysis. 101: 38-49. DOI: 10.1016/0022-1236(91)90146-V  0.348
1991 Eden A, Foias C, Temam R. Local and Global Lyapunov exponents Journal of Dynamics and Differential Equations. 3: 133-177. DOI: 10.1007/Bf01049491  0.356
1990 Foias C, Frazho A, Tannenbaum A. On certain minimal entropy extensions appearing in dilation theory. I Linear Algebra and Its Applications. 137: 213-238. DOI: 10.1016/0024-3795(90)90130-5  0.342
1989 Foias C, Tannenbaum A. Weighted optimization theory for nonlinear systems Siam Journal On Control and Optimization. 27: 842-860. DOI: 10.1137/0327045  0.328
1989 Constantin P, Foias C, Gibbon JD. Finite-dimensional attractor for the laser equations Nonlinearity. 2: 241-269. DOI: 10.1088/0951-7715/2/2/003  0.339
1989 Foias C, Tannenbaum A. On the parametrization of the suboptimal solutions in generalized interpolation Linear Algebra and Its Applications. 122: 145-164. DOI: 10.1016/0024-3795(89)90651-4  0.34
1989 Ball JA, Foias C, Helton JW, Tannenbaum A. A Poincaré-Dulac approach to a nonlinear Beurling-Lax-Halmos theorem Journal of Mathematical Analysis and Applications. 139: 496-514. DOI: 10.1016/0022-247X(89)90124-8  0.424
1989 Foias C, Temam R. Gevrey class regularity for the solutions of the Navier-Stokes equations Journal of Functional Analysis. 87: 359-369. DOI: 10.1016/0022-1236(89)90015-3  0.506
1989 Constantin P, Foias C, Nicolaenko B, Témam R. Spectral barriers and inertial manifolds for dissipative partial differential equations Journal of Dynamics and Differential Equations. 1: 45-73. DOI: 10.1007/Bf01048790  0.511
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  0.678
1988 Foias C, Tannenbaum AR, Zames G. Some Explicit Formulae for the Singular Values of Certain Hankel Operators with Factorizable Symbol Siam Journal On Mathematical Analysis. 19: 1081-1089. DOI: 10.1137/0519072  0.314
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  0.626
1988 Foias C, Tannenbaum A. Some remarks on optimal interpolation Systems and Control Letters. 11: 259-264. DOI: 10.1016/0167-6911(88)90068-0  0.31
1988 Foias C, Temam R. The algebraic approximation of attractors: The finite dimensional case Physica D: Nonlinear Phenomena. 32: 163-182. DOI: 10.1016/0167-2789(88)90049-8  0.345
1988 Constantin P, Foias C, Temam R. On the dimension of the attractors in two-dimensional turbulence Physica D: Nonlinear Phenomena. 30: 284-296. DOI: 10.1016/0167-2789(88)90022-X  0.452
1988 Foias C, Sell GR, Temam R. Inertial manifolds for nonlinear evolutionary equations Journal of Differential Equations. 73: 309-353. DOI: 10.1016/0022-0396(88)90110-6  0.546
1987 Foias C, Manley OP, Teman R. Self‐similar invariant families of turbulent flows Physics of Fluids. 30: 2007-2020. DOI: 10.1063/1.866215  0.478
1987 Foias C, Saut JC. Linearization and normal form of the Navier-Stokes equations with potential forces(*) Annales De L Institut Henri Poincare-Analyse Non Lineaire. 4: 1-47. DOI: 10.1016/S0294-1449(16)30372-9  0.522
1987 Foias C, Manley OP, Temam R. An estimate of the hausdorff dimension of the attractor for homogeneous decaying turbulence Physics Letters A. 122: 140-144. DOI: 10.1016/0375-9601(87)90792-4  0.498
1986 Bercovici H, Foias C, Pearcy C. On the reflexivity of algebras and linear spaces of operators. Michigan Mathematical Journal. 33: 119-126. DOI: 10.1307/Mmj/1029003295  0.315
1986 Foias C, Guillopé C. On the behavior of the solutions of the Navier-Stokes equations lying on invariant manifolds Journal of Differential Equations. 61: 128-148. DOI: 10.1016/0022-0396(86)90127-0  0.511
1985 Constantin P, Foias C, Manley OP, Temam R. Determining modes and fractal dimension of turbulent flows Journal of Fluid Mechanics. 150: 427-440. DOI: 10.1017/S0022112085000209  0.506
1985 Constantin P, Foias C. Global Lyapunov Exponents, Kaplan-Yorke Formulas and the Dimension of the Attractors for 2D Navier-Stokes Equations Communications On Pure and Applied Mathematics. 38: 1-27. DOI: 10.1002/Cpa.3160380102  0.498
1984 Foias C, Temam R. Determination of the solutions of the navier-stokes equations by a set of nodal values Mathematics of Computation. 43: 117-133. DOI: 10.1090/S0025-5718-1984-0744927-9  0.49
1984 Bercovici H, Chevreau B, Foias C, Pearcy C. Dilation theory and systems of simultaneous equations in the predual of an operator algebra. II Mathematische Zeitschrift. 187: 97-103. DOI: 10.1007/Bf01163170  0.37
1984 Constantin P, Foias C, Temam R. ON THE LARGE TIME GALERKIN APPROXIMATION OF THE NAVIER-STOKES EQUATIONS Siam Journal On Numerical Analysis. 21: 615-634.  0.4
1983 Foias C, Manley OP, Temam R. New representation of Navier-Stokes equations governing self-similar homogeneous turbulence Physical Review Letters. 51: 617-620. DOI: 10.1103/Physrevlett.51.617  0.345
1983 Foias C, Temam R. On the Hausdorff dimension of an attractor for the two-dimensional Navier-Stokes equations Physics Letters A. 93: 451-454. DOI: 10.1016/0375-9601(83)90628-X  0.506
1983 Foias C, Manley OP, Temam R, Treve YM. Asymptotic analysis of the navier-stokes equations Physica D: Nonlinear Phenomena. 9: 157-188. DOI: 10.1016/0167-2789(83)90297-X  0.477
1983 Foias C, Temam R. Self-similar universal homogeneous statistical solutions of the Navier-Stokes equations Communications in Mathematical Physics. 90: 187-206. DOI: 10.1007/Bf01205502  0.518
1982 Foias C, Temam R. A specifically nonlinear property of the operator semigroup of the navier-stokes equations Communications On Pure and Applied Mathematics. 35: 197-207. DOI: 10.1002/Cpa.3160350205  0.456
1981 Foias C, Guillope C, Temam R. New a priori estimates for Navier-Stokes equations in dimension 3 Communications in Partial Differential Equations. 6: 329-359. DOI: 10.1080/03605308108820180  0.455
1981 Foias C, Treve YM. Minimum number of modes for the approximation of the solutions of the Navier-Stokes equations in two and three dimensions Physics Letters A. 85: 35-37. DOI: 10.1016/0375-9601(81)90633-2  0.459
1974 Foias C. A functional approach to turbulence Russian Mathematical Surveys. 29: 293-326. DOI: 10.1070/RM1974v029n02ABEH003850  0.33
1966 Foias C. A survey on the functional dynamical system generated by the Navier-Stokes equations 0.334
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