Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms I Lasiecka, D Toundykov Nonlinear Analysis: Theory, Methods & Applications 64 (8), 1757-1797, 2006 | 158 | 2006 |
Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions M Daoulatli, I Lasiecka, D Toundykov Discrete Contin. Dyn. Syst. Ser. S 2 (1), 67-94, 2009 | 117 | 2009 |
On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms CO Alves, MM Cavalcanti, VN Domingos Cavalcanti, MA Rammaha, ... Discrete and Continuous Dynamical Systems¿ Series S 2 (3), 583, 2009 | 100 | 2009 |
Effects of multiscale anisotropy on basin and hyporheic groundwater flow VA Zlotnik, MB Cardenas, D Toundykov GroundWater 49 (4), 576-583, 2011 | 74 | 2011 |
Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent I Chueshov, I Lasiecka, D Toundykov Discrete and Continuous Dynamical Systems 20 (3), 459, 2008 | 62 | 2008 |
Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed … D Toundykov Nonlinear Analysis: Theory, Methods & Applications 67 (2), 512-544, 2007 | 62 | 2007 |
On a wave equation with supercritical interior and boundary sources and damping terms L Bociu, M Rammaha, D Toundykov Mathematische Nachrichten 284 (16), 2032-2064, 2011 | 56 | 2011 |
Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable M Cavalcanti, I Lasiecka, D Toundykov Transactions of the American Mathematical Society 364 (11), 5693-5713, 2012 | 49 | 2012 |
Stabilization of the damped wave equation with Cauchy–Ventcel boundary conditions MM Cavalcanti, VND Cavalcanti, R Fukuoka, D Toundykov Journal of Evolution Equations 9 (1), 143-169, 2009 | 42 | 2009 |
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping Y Guo, MA Rammaha, S Sakuntasathien, ES Titi, D Toundykov Journal of Differential Equations 257 (10), 3778-3812, 2014 | 41 | 2014 |
Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent I Chueshov, I Lasiecka, D Toundykov Journal of Dynamics and Differential Equations 21, 269-314, 2009 | 39 | 2009 |
Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source I Lasiecka, D Toundykov Nonlinear Analysis: Theory, Methods & Applications 69 (3), 898-910, 2008 | 35 | 2008 |
Weak solutions and blow-up for wave equations of p-Laplacian type with supercritical sources P Pei, MA Rammaha, D Toundykov Journal of Mathematical Physics 56 (8), 2015 | 34 | 2015 |
Local and global well-posedness of semilinear Reissner–Mindlin–Timoshenko plate equations P Pei, MA Rammaha, D Toundykov Nonlinear Analysis: Theory, Methods & Applications 105, 62-85, 2014 | 33 | 2014 |
Geometrically constrained stabilization of wave equations with Wentzell boundary conditions MM Cavalcanti, I Lasiecka, D Toundykov Applicable Analysis 91 (8), 1427-1452, 2012 | 33 | 2012 |
A nonlocal biharmonic operator and its connection with the classical analogue P Radu, D Toundykov, J Trageser Archive for Rational Mechanics and Analysis 223, 845-880, 2017 | 28 | 2017 |
A cantilevered extensible beam in axial flow: semigroup well-posedness and postflutter regimes JS Howell, D Toundykov, JT Webster SIAM Journal on Mathematical Analysis 50 (2), 2048-2085, 2018 | 27 | 2018 |
Global well-posedness and stability of semilinear Mindlin–Timoshenko system P Pei, MA Rammaha, D Toundykov Journal of Mathematical Analysis and Applications 418 (2), 535-568, 2014 | 26 | 2014 |
Finite-dimensional attractor for a composite system of wave/plate equations with localized damping F Bucci, D Toundykov Nonlinearity 23 (9), 2271, 2010 | 26 | 2010 |
Well-posedness analysis for a linearization of a fluid-elasticity interaction L Bociu, D Toundykov, JP Zolésio SIAM Journal on Mathematical Analysis 47 (3), 1958-2000, 2015 | 24 | 2015 |