Global solution for a generalized Boussinesq equation

DOI10.1016/j.amc.2008.06.059zbMath1161.35469OpenAlexW2090242032MaRDI QIDQ2378903

Shubin Wang, Hongxia Xue

Publication date: 14 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.06.059

zbMATH Keywords

nonexistenceCauchy problemBoussinesq equationstable setunstable setexistence of global solution

Mathematics Subject Classification ID

Related Items (19)

A second order fractional differential equation under effects of a super damping ⋮ Nonexistence of global solutions of abstract wave equations with high energies ⋮ Blow-up and global solvability of the Cauchy problem for a pseudohyperbolic equation related to the generalized Boussinesq equation ⋮ Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation ⋮ Perturbation, symmetry analysis, Bäcklund and reciprocal transformation for the extended Boussinesq equation in fluid mechanics ⋮ New solutions for solving Boussinesq equation via potential symmetries method ⋮ Asymptotic behavior of solutions to a class of nonlinear wave equations of sixth order with damping ⋮ Asymptotic profiles of solutions to sixth order Boussinesq-type equations with damping ⋮ Well-posedness of nonlinear wave equation with combined power-type nonlinearities ⋮ Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order ⋮ Existence and nonexistence of solutions for a generalized Boussinesq equation ⋮ Potential method applied to Boussinesq equation ⋮ Solitary waves of Boussinesq equation in a power law media ⋮ Existence and asymptotic behavior of solution of Cauchy problem for the damped sixth-order Boussinesq equation ⋮ Unnamed Item ⋮ A family of potential wells for a wave equation ⋮ Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy ⋮ Global existence and asymptotic behavior of solution for the sixth order Boussinesq equation with damped term ⋮ Global existence and blowup of solutions for the multidimensional sixth-order ``good Boussinesq equation

Cites Work

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