Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms

DOI10.1007/s10483-008-0213-yzbMath1231.35119OpenAlexW1977359560MaRDI QIDQ940561

Ji-Hong Shen, Run-Zhang Xu, Xi-Ren Zhao

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0213-y

zbMATH Keywords

asymptotic behaviourdissipativedispersivefourth order wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Strong solutions to PDEs (35D35)

Related Items (11)

FINITE TIME BLOW-UP FOR THE NONLINEAR FOURTH-ORDER DISPERSIVE-DISSIPATIVE WAVE EQUATION AT HIGH ENERGY LEVEL ⋮ Global attractor and decay estimates of solutions to a class of nonlinear evolution equations ⋮ On the decay and blow-up of solution for a system of nonlinear viscoelastic plate equations with dissipative terms ⋮ Asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative terms ⋮ Global existence and uniform decay of solutions for a system of wave equations with dispersive and dissipative terms ⋮ Global attractors for the higher-order evolution equation ⋮ Global existence and nonexistence of solution for Cauchy problem of two-dimensional generalized Boussinesq equations ⋮ Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity ⋮ Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms ⋮ Asymptotic behavior of a solution of the Cauchy problem for the generalized damped multidimensional Boussinesq equation ⋮ Unconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The propagation of solitary waves in a nonlinear elastic rod
• Initial value problems and first boundary problems for a class of quasilinear wave equations
• 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

This page was built for publication: Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms