A dual pair for free boundary fluids

DOI10.1142/S0219887815500681zbMath1352.53069arXiv1402.1516OpenAlexW2964106883MaRDI QIDQ3459137

François Gay-Balmaz, Cornelia Vizman

Publication date: 30 December 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1516

zbMATH Keywords

momentum mapdual pairfree boundary Euler equation

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Poisson manifolds; Poisson groupoids and algebroids (53D17) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Momentum maps; symplectic reduction (53D20) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (5)

Dual Pairs for Non-Abelian Fluids ⋮ A dual pair for the contact group ⋮ Principal bundles of embeddings and nonlinear Grassmannians ⋮ A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion ⋮ Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian

Cites Work

• Momentum maps and Hamiltonian reduction
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