Non-autonomous weakly damped plate model on time-dependent domains

DOI10.3934/dcdss.2021076zbMath1489.37090OpenAlexW3176739361MaRDI QIDQ2064008

Lu Yang, Zhao-sheng Feng, Peng-Hui Zhang

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021076

zbMATH Keywords

critical exponentplate equationnon-cylindrical domainpullback attractornonautonomous system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Cites Work

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• Attractors for infinite-dimensional non-autonomous dynamical systems
• Duffing-van der Pol-type oscillator systems
• Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped wave equation with multiplicative noise
• Time-dependent attractor for the oscillon equation
• Dynamics of wave equations with moving boundary
• Attractors for wave equations with nonlinear damping on time-dependent space
• Pullback attractors for a semilinear heat equation on time-varying domains
• Global attractors for von Karman evolutions with a nonlinear boundary dissipation.
• Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise
• Long-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditions
• Dynamics for the damped wave equations on time-dependent domains
• Stability of exponential attractors for a family of semilinear wave equations with gentle dissipation
• Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term
• Attractors for second-order evolution equations with a nonlinear damping
• Pullback dynamics of non-autonomous wave equations with acoustic boundary condition.
• Global attractors for von Kármán equations with nonlinear interior dissipation
• Global attractor for plate equation with nonlinear damping
• Pullback attractors for a semilinear heat equation in a non-cylindrical domain
• Attractors for processes on time-dependent spaces. Applications to wave equations
• Existence of a global attractor for the plate equation with a critical exponent in an unbounded domain
• Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain
• Long-time behavior of a class of thermoelastic plates with nonlinear strain
• L^p-type pullback attractors for a semilinear heat equation on time-varying domains
• Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary
• A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
• A free boundary problem related to singular stochastic control: the parabolic case
• Longtime dynamics of the quasi-linear wave equations with structural damping and supercritical nonlinearities

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