Asymptotics in shallow water waves

DOI10.3934/dcds.2015.35.3103zbMath1332.35295arXiv1407.0598OpenAlexW2963383197MaRDI QIDQ255404

Peter J. Topalov, Robert C. McOwen

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0598

zbMATH Keywords

Camassa-Holm equationshallow water wavesgroups of asymptotic diffeomorphismsspatial asymptoticswell-posedness of non-linear PDEs

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items

Spatial asymptotic expansions in the incompressible Euler equation ⋮ Groups of asymptotic diffeomorphisms ⋮ On the asymptotic behavior of solutions of the 2d Euler equation ⋮ The stability and decay for the 2D incompressible Euler-like equations ⋮ Spatial asymptotics and equilibria of heat flow on \(\mathbb{R}^d\)

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