KdV equation in domains with moving boundaries

DOI10.1016/j.jmaa.2006.05.057zbMath1122.35123OpenAlexW1990010344MaRDI QIDQ864709

Gleb G. Doronin, Nickolai A. Larkin

Publication date: 12 February 2007

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.2006.05.057

zbMATH Keywords

stabilityregularizationdecayglobal existenceKdV equationFaedo-Galerkin method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Free boundary problems for PDEs (35R35)

Related Items (13)

On the exponential decay of solutions of a coupled system of dissipative Benjamin-Bona-Mahony type equations in domain with moving boundaries ⋮ On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations ⋮ A shift‐adaptive meshfree method for solving a class of initial‐boundary value problems with moving boundaries in one‐dimensional domain ⋮ Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on unbounded domains ⋮ Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries ⋮ Stabilization of Regular Solutions for the Zakharov-Kuznetsov Equation Posed on Bounded Rectangles and on a Strip ⋮ Asymptotic behaviour for a nonlinear Schrödinger equation in domains with moving boundaries ⋮ Boundary value problems for the stationary Kawahara equation ⋮ Coupled system of Korteweg-de Vries equations type in domains with moving boundaries ⋮ Global regular solutions to one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation ⋮ Finite difference scheme for a higher order nonlinear Schrödinger equation ⋮ Existence of solution to Korteweg-de Vries equation in a non-parabolic domain ⋮ Stabilization for the linear Zakharov-Kuznetsov equation without critical size restrictions

Cites Work

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