On a bi-layer shallow water problem with Dirichlet boundary conditions.

DOI10.1016/j.crma.2005.04.019zbMath1080.35082OpenAlexW2086838945MaRDI QIDQ557101

Mathieu Peybernes, Pierre Orenga, Fabien Flori

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.04.019

zbMATH Keywords

Dirichlet boundary conditionsHardy spacesStokes operatordepth-mean velocitysuperposed shallow layers

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (4)

Existence of spherically symmetric solutions for a reduced gravity two-and-a-half layer system ⋮ Existence of global weak solutions for a viscous 2D bilayer shallow water model ⋮ Existence of global weak solution for a reduced gravity two and a half layer model ⋮ Existence of a global weak solution for a 2D viscous bi-layer shallow water model

Cites Work

• Global higher integrability of Jacobians on bounded domains
• On a bi-layer shallow-water problem
• On a one-dimensional bi-layer shallow-water problem.
• Existence theorem for the solution of a shallow water problem
• \(H^p\) spaces of several variables
• Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet

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