Dissipative behavior of some fully nonlinear KdV-type equations

DOI10.1016/S0167-2789(99)00190-6zbMath0945.35076arXivmath-ph/9911019OpenAlexW2142490897MaRDI QIDQ1970097

Yann Brenier, Doron Levy

Publication date: 9 October 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9911019

zbMATH Keywords

nonlinear dynamicsfinite-difference methodsKdV-type equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65)

Related Items (4)

On a limit of perturbed conservation laws with saturating diffusion and non-positive dispersion ⋮ On the nonlinear dynamics of the traveling-wave solutions of the Serre system ⋮ Convergence of a family of perturbed conservation laws with diffusion and non-positive dispersion ⋮ Hamiltonian regularisation of shallow water equations with uneven bottom

Cites Work

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• Binary and ternary oscillations in a cubic numerical scheme
• Binary modulated oscillations in a semi-discrete version of Burgers equation
• Large oscillations arising in a dispersive numerical scheme
• The small dispersion limit of the Korteweg-de Vries equation. III
• The Discrete One-Sided Lipschitz Condition for Convex Scalar Conservation Laws
• On dispersive difference schemes. I

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