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Daniel Toundykov
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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
1482006
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
1102009
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
962009
Effects of multiscale anisotropy on basin and hyporheic groundwater flow
VA Zlotnik, MB Cardenas, D Toundykov
GroundWater 49 (4), 576-583, 2011
712011
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
602007
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
562008
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
542011
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
412012
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
402014
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
392009
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
352009
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
342008
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
332015
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
322014
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
282018
Geometrically constrained stabilization of wave equations with Wentzell boundary conditions
MM Cavalcanti, I Lasiecka, D Toundykov
Applicable Analysis 91 (8), 1427-1452, 2012
282012
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
252017
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
252015
Finite-dimensional attractor for a composite system of wave/plate equations with localized damping
F Bucci, D Toundykov
Nonlinearity 23 (9), 2271, 2010
252010
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
232014
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