Euler equations on a semi-direct product of the diffeomorphisms group by itself

DOI10.3934/jgm.2011.3.313zbMath1277.37101OpenAlexW4232987561MaRDI QIDQ429049

Joachim Escher, Boris Kolev, Rossen I. Ivanov

Publication date: 25 June 2012

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2011.3.313

zbMATH Keywords

Euler equationintegrable systemsdiffeomorphism group of the circlepeakons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (11)

Euler-Poincaré equations on semi-direct products ⋮ Euler-Poincaré-Arnold equations on semi-direct products. II ⋮ Ill-posedness for the \(b\)-family of equations ⋮ A generalized two-component Camassa-Holm system with complex nonlinear terms and Waltzing peakons ⋮ Relational space-time and de Broglie waves ⋮ Construction of peakon-antipeakon solutions and ill-posedness for the b-family of equations ⋮ BMS₃invariant fluid dynamics at null infinity ⋮ Continuity and analyticity for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs ⋮ Continuity for a generalized cross-coupled Camassa-Holm system with waltzing peakons and higher-order nonlinearities ⋮ Well-posedness and blowup phenomena for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs ⋮ On the solutions of the cross-coupled Camassa-Holm system

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