The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view

DOI10.1016/j.jde.2017.12.008zbMath1391.35112arXiv1609.04006OpenAlexW2964062553MaRDI QIDQ683471

Thomas O. Gallouët, François-Xavier Vialard

Publication date: 6 February 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04006

zbMATH Keywords

group of diffeomorphismsoptimal mass transportgeodesic equation on an isotropy subgroupWasserstein-Fisher-Rao distance

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Euler equations (35Q31)

Related Items (9)

Global weak conservative solutions of the \(\mu \)-Camassa-Holm equation ⋮ A new transportation distance with bulk/interface interactions and flux penalization ⋮ Geometric approach on the global conservative solutions of the Camassa-Holm equation ⋮ Differential invariants of Camassa-Holm equation ⋮ Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric ⋮ A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION ⋮ On Optimal Transport of Matrix-Valued Measures ⋮ Generalized compressible flows and solutions of the \(H(\text{div})\) geodesic problem ⋮ Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems

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