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Daniel Toundykov - Publications

Affiliations: 
Mathematics The University of Nebraska - Lincoln, Lincoln, NE 
Area:
Mathematics, Applied Mathematics
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40 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 Frei S, Azizian M, Grant SB, Zlotnik VA, Toundykov D. Analytical modeling of hyporheic flow for in-stream bedforms: Perturbation method and implementation Environmental Modelling & Software. 111: 375-385. DOI: 10.1016/J.Envsoft.2018.09.015  0.338
2018 Bociu L, Derochers S, Toundykov D. Feedback stabilization of a linear hydro-elastic system Discrete and Continuous Dynamical Systems-Series B. 23: 1107-1132. DOI: 10.3934/Dcdsb.2018144  0.491
2018 Toundykov D, Zolésio J. Stabilization of wave dynamics by moving boundary Nonlinear Analysis-Real World Applications. 39: 213-232. DOI: 10.1016/J.Nonrwa.2017.06.008  0.509
2017 Radu P, Toundykov D, Trageser J. A Nonlocal Biharmonic Operator and its Connection with the Classical Analogue Archive For Rational Mechanics and Analysis. 223: 845-880. DOI: 10.1007/S00205-016-1047-2  0.448
2016 Bociu L, Derochers S, Toundykov D. Linearized hydro-elasticity: A numerical study Evolution Equations and Control Theory. 5: 533-559. DOI: 10.3934/Eect.2016018  0.456
2016 Avalos G, Toundykov D. A uniform discrete inf-sup inequality for finite element hydro-elastic models Evolution Equations and Control Theory. 5: 515-531. DOI: 10.3934/Eect.2016017  0.402
2016 Pei P, Rammaha MA, Toundykov D. Well-posedness of Mindlin–Timoshenko Plate with Nonlinear Boundary Damping and Sources Applied Mathematics and Optimization. 1-36. DOI: 10.1007/S00245-016-9357-1  0.511
2015 Zlotnik VA, Toundykov D, Cardenas MB. An analytical approach for flow analysis in aquifers with spatially varying top boundary. Ground Water. 53: 335-41. PMID 24902854 DOI: 10.1111/Gwat.12205  0.401
2015 Bociu L, Toundykov D, Zolésio JP. Well-posedness analysis for a linearization of a fluid-elasticity interaction Siam Journal On Mathematical Analysis. 47: 1958-2000. DOI: 10.1137/140970689  0.525
2015 Eller M, Toundykov D. Semiglobal exact controllability of nonlinear plates Siam Journal On Control and Optimization. 53: 2480-2513. DOI: 10.1137/130939705  0.403
2015 Pei P, Rammaha MA, Toundykov D. Weak solutions and blow-up for wave equations of p-laplacian type with supercritical sources Journal of Mathematical Physics. 56: 081503. DOI: 10.1063/1.4927688  0.546
2015 Pei P, Rammaha MA, Toundykov D. Well-posedness and stability of a Mindlin-Timoshenko plate model with damping and sources Trends in Mathematics. 2: 307-314. DOI: 10.1007/978-3-319-12577-0-36  0.451
2014 Pei P, Rammaha MA, Toundykov D. Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations Nonlinear Analysis, Theory, Methods and Applications. 105: 62-85. DOI: 10.1016/J.Na.2014.03.024  0.519
2014 Pei P, Rammaha MA, Toundykov D. Global well-posedness and stability of semilinear Mindlin-Timoshenko system Journal of Mathematical Analysis and Applications. 418: 535-568. DOI: 10.1016/J.Jmaa.2014.03.014  0.46
2014 Radu P, Toundykov D, Trageser J. Finite time blow-up in nonlinear suspension bridge models Journal of Differential Equations. 257: 4030-4063. DOI: 10.1016/J.Jde.2014.07.017  0.386
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  0.535
2014 Bociu L, Toundykov D. Corrigendum to "Attractors for non-dissipative irrotational von Karman plates with boundary damping" [J. Differential Equations, 253, (12), (2012), 3568-3609] Journal of Differential Equations. 256: 893. DOI: 10.1016/J.Jde.2013.10.007  0.473
2014 Cavalcanti MM, Cavalcanti VND, Fukuoka R, Toundykov D. Unified approach to stabilization of waves on compact surfaces by simultaneous interior and boundary feedbacks of unrestricted growth Applied Mathematics and Optimization. 69: 83-122. DOI: 10.1007/S00245-013-9218-0  0.501
2013 Bociu L, Radu P, Toundykov D. Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping Evolution Equations and Control Theory. 2: 255-279. DOI: 10.3934/Eect.2013.2.255  0.47
2012 Eller M, Toundykov D. Carleman estimates for elliptic boundary value problems with applications to the stablization of hyperbolic systems Evolution Equations and Control Theory. 1: 271-296. DOI: 10.3934/Eect.2012.1.271  0.415
2012 Rammaha M, Toundykov D, Wilstein Z. Global existence and decay of energy for a nonlinear wave equation with p-laplacian damping Discrete and Continuous Dynamical Systems- Series A. 32: 4361-4390. DOI: 10.3934/Dcds.2012.32.4361  0.517
2012 Cavalcanti MM, Lasiecka I, Toundykov D. Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable Transactions of the American Mathematical Society. 364: 5693-5713. DOI: 10.1090/S0002-9947-2012-05583-8  0.482
2012 Cavalcanti MM, Lasiecka I, Toundykov D. Geometrically constrained stabilization of wave equations with Wentzell boundary conditions Applicable Analysis. 91: 1427-1452. DOI: 10.1080/00036811.2011.647910  0.562
2012 Eller M, Toundykov D. A global Holmgren theorem for multidimensional hyperbolic partial differential equations Applicable Analysis. 91: 69-90. DOI: 10.1080/00036811.2010.538685  0.43
2012 Bociu L, Rammaha M, Toundykov D. Wave equations with super-critical interior and boundary nonlinearities Mathematics and Computers in Simulation. 82: 1017-1029. DOI: 10.1016/J.Matcom.2011.04.006  0.58
2012 Bociu L, Toundykov D. Attractors for non-dissipative irrotational von Karman plates with boundary damping Journal of Differential Equations. 253: 3568-3609. DOI: 10.1016/J.Jde.2012.08.004  0.562
2011 Zlotnik VA, Cardenas MB, Toundykov D. Effects of multiscale anisotropy on basin and hyporheic groundwater flow. Ground Water. 49: 576-83. PMID 21087251 DOI: 10.1111/J.1745-6584.2010.00775.X  0.319
2011 Avalos G, Toundykov D. Boundary stabilization of structural acoustic interactions with interface on a ReissnerMindlin plate Nonlinear Analysis: Real World Applications. 12: 2985-3013. DOI: 10.1016/J.Nonrwa.2011.05.001  0.54
2011 Bociu L, Rammaha M, Toundykov D. On a wave equation with supercritical interior and boundary sources and damping terms Mathematische Nachrichten. 284: 2032-2064. DOI: 10.1002/Mana.200910182  0.583
2011 Avalos G, Toundykov D. On stability and trace regularity of solutions to reissner-mindlin-timoshenko equations Operator Theory: Advances and Applications. 216: 79-91.  0.41
2010 Bucci F, Toundykov D. Finite-dimensional attractor for a composite system of wave/plate equations with localized damping Nonlinearity. 23: 2271-2306. DOI: 10.1088/0951-7715/23/9/011  0.516
2009 Daoulatli M, Lasiecka I, Toundykov D. Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions Discrete and Continuous Dynamical Systems - Series S. 2: 67-94. DOI: 10.3934/Dcdss.2009.2.67  0.55
2009 Alves CO, Cavalcanti MM, Domingos Cavalcanti VN, Rammaha MA, Toundykov D. On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms Discrete and Continuous Dynamical Systems - Series S. 2: 583-608. DOI: 10.3934/Dcdss.2009.2.583  0.445
2009 Chueshov I, Lasiecka I, Toundykov D. Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent Journal of Dynamics and Differential Equations. 21: 269-314. DOI: 10.1007/S10884-009-9132-Y  0.529
2009 Cavalcanti MM, Cavalcanti VND, Fukuoka R, Toundykov D. Stabilization of the damped wave equation with Cauchy-Ventcel boundary conditions Journal of Evolution Equations. 9: 143-169. DOI: 10.1007/S00028-009-0002-1  0.453
2008 Chueshov I, Lasiecka I, Toundykov D. Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent Discrete and Continuous Dynamical Systems. 20: 459-509. DOI: 10.3934/Dcds.2008.20.459  0.52
2008 Lasiecka I, Toundykov D. Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source Nonlinear Analysis, Theory, Methods and Applications. 69: 898-910. DOI: 10.1016/J.Na.2008.02.069  0.513
2007 Toundykov D. Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions Nonlinear Analysis, Theory, Methods and Applications. 67: 512-544. DOI: 10.1016/J.Na.2006.06.007  0.575
2007 Lasiecka I, Toundykov D. Stability of higher-level energy norms of strong solutions to a wave equation with localized nonlinear damping and a nonlinear source term Control and Cybernetics. 36: 681-710.  0.506
2006 Lasiecka I, Toundykov D. Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms Nonlinear Analysis, Theory, Methods and Applications. 64: 1757-1797. DOI: 10.1016/J.Na.2005.07.024  0.588
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