Asymptotic behavior of a solution of the Cauchy problem for the generalized damped multidimensional Boussinesq equation

DOI10.1016/j.aml.2012.02.051zbMath1452.35157OpenAlexW2065388418MaRDI QIDQ712621

Erhan Pişkin, Necat Polat

Publication date: 17 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.051

zbMATH Keywords

asymptotic behaviordamping termBoussinesq equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

• Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms
• Asymptotic behavior of solutions for initial-boundary value problems for strongly damped nonlinear wave equations
• Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation
• Eigenfunction expansion method and the long-time asymptotics for the damped Boussinesq equation