Asymptotics for the Korteweg-de Vries-Burgers equation

DOI10.1007/s10114-005-0677-3zbMath1104.35046OpenAlexW1998804614MaRDI QIDQ2505393

Pavel I. Naumkin, Nakao Hayashi

Publication date: 4 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0677-3

zbMATH Keywords

Cauchy problemdissipationdispersionKorteweg-de Vries-Burgers equationlarge initial dataasymptotics for large timenonlinera convection

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (12)

Asymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation ⋮ Nonlinear pseudoparabolic type equations on a half-line with large initial data ⋮ Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation ⋮ Long-time behavior of solutions of the generalized Korteweg-de Vries equation ⋮ Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D ⋮ Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation ⋮ Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation ⋮ On the rotating Navier-Stokes equations with mixed boundary conditions ⋮ Large time behavior of solutions to the generalized Burgers equations ⋮ Asymptotic behavior of solutions to the generalized KdV-Burgers equation ⋮ On the critical nonlinear damped wave equation with large initial data ⋮ Asymptotic behavior of solutions to the generalized KdV-Burgers equation with slowly decaying data

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