Approximate inertial manifolds to the generalized symmetric regularized long wave equations with damping term

DOI10.1007/s10255-003-0095-1zbMath1059.35105OpenAlexW2007203201MaRDI QIDQ1879126

Yadong Shang, Bo-ling Guo

Publication date: 22 September 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-003-0095-1

zbMATH Keywords

Sobolev spacesattractorsunique global solutionabsorbing setspectral methodsenergy type estimatesexistence of approximate inertial manifolds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (8)

Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation ⋮ A dissipative finite difference Fourier pseudo-spectral method for the symmetric regularized long wave equation with damping mechanism ⋮ Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations ⋮ A linear difference scheme for dissipative symmetric regularized long wave equations with damping term ⋮ Mixed finite element analysis for dissipative SRLW equations with damping term ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ C-N difference schemes for dissipative symmetric regularized long wave equations with damping term ⋮ Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations

Cites Work

• Decay of solutions of some nonlinear wave equations
• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• Gevrey class regularity and approximate inertial manifolds for the Newton- Boussinesq equations
• Stability and instability of solitary waves for generalized symmetric regularized-long-wave equations
• A symmetric regularized-long-wave equation
• Time analyticity and gevrey regularity for solutions of a class of dissipative partial differential equations
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