Hamiltonian formalism for models of rotating shallow water in semigeostrophic scaling

DOI10.3934/dcds.2011.31.827zbMath1231.35175OpenAlexW2328934319MaRDI QIDQ652209

Marcel Oliver, Sergiy Vasylkevych

Publication date: 13 December 2011

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

Full work available at URL: https://doi.org/10.3934/dcds.2011.31.827

zbMATH Keywords

Poisson reductiondiffeomorphism groupbalance modelsrotating shallow watersemigeostrophic equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

Global well-posedness for the generalized large-scale semigeostrophic equations ⋮ Comparison of variational balance models for the rotating shallow water equations ⋮ Generalized LSG models with spatially varying Coriolis parameter

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