The generalized Korteweg-de Vries-Burgers equation in \(H^2(\mathbb R)\)

DOI10.1016/j.na.2010.08.043zbMath1205.35248OpenAlexW2068076007MaRDI QIDQ611180

Tomasz Dlotko

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.08.043

zbMATH Keywords

global attractorglobal solvabilityparabolic approximationgeneralized KdV-Burgers equation

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35)

Related Items (12)

Higher regularity of global attractors of a weakly dissipative fractional Korteweg de Vries equation ⋮ Fractional Schrödinger equation; solvability and connection with classical Schrödinger equation ⋮ Long time behavior of solutions of gKdV equations ⋮ Boundary value problem for the KdV-Burgers equation in a quarter plane ⋮ Asymptotic behavior of the generalized Korteweg-de Vries-Burgers equation ⋮ Navier-Stokes equation and its fractional approximations ⋮ Global well-posedness and exponential decay rates for a KdV-Burgers equation with indefinite damping ⋮ Pullback attractors for generalized Korteweg-de Vries-Burgers equations ⋮ Non homogeneous Dirichlet problem for the KdVB equation on a segment ⋮ A non-homogeneous boundary-value problem for the KdV-Burgers equation posed on a finite domain ⋮ An initial-boundary value problem in a strip for two-dimensional Zakharov-Kuznetsov-Burgers equation ⋮ Quasi-geostrophic equation in \(\mathbb{R}^2\)

Cites Work

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• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Attractors for non-compact semigroups via energy equations

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