Decay rates for the solutions of model equations for bore propagation

DOI10.1017/S0308210500028080zbMath0827.35117MaRDI QIDQ4839293

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Publication date: 17 July 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Korteweg-de Vries-Burgers equationpropagation of small-amplitude long wavessharp rates of temporal decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (6)

Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term ⋮ Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law ⋮ Global asymptotic stability of the rarefaction waves to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation laws ⋮ Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the scalar diffusive dispersive conservation laws ⋮ Convergence rate of solutions toward traveling waves for the Cauchy problem of generalized Korteweg-de Vries-Burgers equations ⋮ Convergence rates to traveling waves for viscous conservation laws with dispersion

Cites Work

• Decay of solutions of some nonlinear wave equations
• An evaluation of a model equation for water waves

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