Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation

DOI10.1142/S021953051450002XzbMath1311.35141MaRDI QIDQ4983017

Yu-Zhu Wang, Shuichi Kawashima

Publication date: 14 April 2015

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

linear approximationsmall initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (21)

Decay estimate of solutions to the sixth order damped Boussinesq equation ⋮ Asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative terms ⋮ Pointwise estimates of global small solutions to the generalized double dispersion equation ⋮ Existence and asymptotic stability of time periodic solutions to the generalized double dispersion equation with periodic external force ⋮ Asymptotic profile of global solutions to the generalized double dispersion equation via the nonlinear term ⋮ Decay estimates for the double dispersion equation with initial data in real Hardy spaces ⋮ Asymptotic profile of solutions to the linearized double dispersion equation on the half space \(\mathbb{R}^{n}_+\) ⋮ Decay estimate of global solutions to the generalized double dispersion model in Morrey spaces ⋮ Dispersive estimates and asymptotic behavior for a generalized Boussinesq-type equation ⋮ Asymptotic behavior of solutions to a class of nonlinear wave equations of sixth order with damping ⋮ Large-time behavior of solutions to the Rosenau equation with damped term ⋮ Asymptotic profiles of solutions to the generalized double dispersion equation with structural damping ⋮ Asymptotic profiles of solutions to sixth order Boussinesq-type equations with damping ⋮ Global existence and asymptotic behavior of solutions to the generalized damped Boussinesq equation ⋮ Decay estimate of solutions for a semi-linear wave equation ⋮ Asymptotic profile of solutions to the double dispersion equation ⋮ Exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition ⋮ Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces ⋮ Well-posedness and scattering of small amplitude solutions to Boussinesq paradigm equation ⋮ Asymptotic behavior of classical solutions to the compressible Navier-Stokes-Poisson equations in three and higher dimensions ⋮ Long time behavior of solutions to the compressible MHD system in multi-dimensions

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