Existence and asymptotic decay for a Boussinesq-type model

DOI10.1016/J.JMAA.2008.04.018zbMath1147.35074OpenAlexW2007562300MaRDI QIDQ931015

Ivonne Rivas Triviño, Juan Carlos Muñoz Grajales

Publication date: 24 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.018

zbMATH Keywords

Fourier transformCauchy problemspectral methodsasymptotic decayBoussinesq-type model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Decay of solutions of a Boussinesq-type system with variable coefficients ⋮ Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system ⋮ The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space

Cites Work

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• Dispersion of low-energy waves for two conservative equations
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Decay and asymptotics for \(\square u = F(u)\)
• Stability and instability of solitary waves of Korteweg-de Vries type
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory

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