Asymptotic behavior of the generalized Korteweg-de Vries-Burgers equation

DOI10.1007/s00028-010-0062-2zbMath1239.35139OpenAlexW2027431901MaRDI QIDQ423425

Chunyou Sun, Tomasz Dlotko

Publication date: 2 June 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-010-0062-2

zbMATH Keywords

global attractorupper semicontinuityasymptotic behavior of solutionsgeneralized KdV-Burgers equationparabolic approximations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Singular perturbations in context of PDEs (35B25) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Initial value problems for higher-order parabolic equations (35K30) Other special methods applied to PDEs (35A25)

Related Items (5)

Higher regularity of global attractors of a weakly dissipative fractional Korteweg de Vries equation ⋮ Long time behavior of solutions of gKdV equations ⋮ Pullback attractors for generalized Korteweg-de Vries-Burgers equations ⋮ Non homogeneous Dirichlet problem for the KdVB equation on a segment ⋮ Global existence and uniqueness of the solution for the fractional Schrödinger-KdV-Burgers system

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