The existence of global attractors for a system of multi-dimensional symmetric regularized wave equations

DOI10.1016/j.cnsns.2007.07.001zbMath1221.35362OpenAlexW2076529642WikidataQ126211192 ScholiaQ126211192MaRDI QIDQ718810

Hua Qiu, Bo-ling Guo, Shao-mei Fang

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.07.001

zbMATH Keywords

initial-boundary value problemglobal attractorsa priori estimationsymmetric regularized wave equations (SRWE)

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Related Items (13)

Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation ⋮ A new linearized fourth-order conservative compact difference scheme for the SRLW equations ⋮ 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 new high-order compact and conservative numerical scheme for the 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 ⋮ Numerical implementation for solving the symmetric regularized long wave equation ⋮ 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 ⋮ Numerical analysis of a high-order accurate compact finite difference scheme for the SRLW equation

Cites Work

• One-dimensional global attractor for strongly damped wave equations
• Initial boundary value problem for one class of system of multidimensional inhomogeneous GBBM equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Attractors of partial differential evolution equations and estimates of their dimension
• Attractors representing turbulent flows
• Long time behavior for damped generalized coupled nonlinear wave equations. I: Bounded domain
• Long time behavior for damped generalized coupled nonlinear wave equations. II: Unbounded domain

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