A note on multi-dimensional Camassa–Holm-type systems on the torus

DOI10.1088/1751-8113/45/12/125205zbMath1239.58022arXiv1108.1553OpenAlexW3106365277MaRDI QIDQ5388950

Martin Kohlmann

Publication date: 24 April 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1553

zbMATH Keywords

multi-dimensional Camassa-Holm-type systems on the torus

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Partial differential equations on manifolds; differential operators (58J99) Group structures and generalizations on infinite-dimensional manifolds (58B25) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (7)

Well-posedness and analytic solutions of the two-component Euler-Poincaré system ⋮ On the Cauchy problem for the two-component Euler-Poincaré equations ⋮ Peakon weak solutions for the rotation-two-component Camassa-Holm system ⋮ Analytical Cartesian solutions of the multi-component Camassa-Holm equations ⋮ Error estimates of the local discontinuous Galerkin methods for two-dimensional \((\mu)\)-Camassa-Holm equations ⋮ Generalized Hunter-Saxton equations, optimal information transport, and factorization of diffeomorphisms ⋮ A note on the solution map for the periodic multi-dimensional Camassa-Holm-type system

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