Global attractor and decay estimates of solutions to a class of nonlinear evolution equations
From MaRDI portal
Publication:3168663
DOI10.1002/mma.1370zbMath1223.35060OpenAlexW2032853451MaRDI QIDQ3168663
Shenglan Zhu, Hui Wang, Caisheng Chen
Publication date: 19 April 2011
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1370
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)
Related Items (4)
On the decay and blow-up of solution for a system of nonlinear viscoelastic plate equations with dissipative terms ⋮ Long-time behavior of a semilinear wave equation with memory ⋮ Global attractors for the higher-order evolution equation ⋮ Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms
Cites Work
- Unnamed Item
- Unnamed Item
- Attractors for semilinear damped wave equations with an acoustic boundary condition
- Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms
- Infinite-dimensional dynamical systems in mechanics and physics.
- Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line.
- An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
- The existence of global attractors for a class nonlinear evolution equation
- A symmetric regularized-long-wave equation
- Solitary-Wave Interactions in Elastic Rods
- Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation
- A new method to obtain decay rate estimates for dissipative systems
- Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
This page was built for publication: Global attractor and decay estimates of solutions to a class of nonlinear evolution equations