Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions

DOI10.1016/j.anihpc.2003.11.002zbMath1062.35064OpenAlexW2083661556MaRDI QIDQ1765683

Francisco Guillén-González, Marko A. Rojas-Medar, Maria Angeles Rodríguez-Bellido

Publication date: 23 February 2005

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_6_807_0

zbMATH Keywords

existenceuniquenessstrong regularityprimitive equationsvery weak solutionNon-smooth boundary datanon-stationary hydrostatic Navier-Stokes equationsTransposition method

Mathematics Subject Classification ID

Related Items (2)

Existence and uniqueness of very weak solution of the MHD type system ⋮ On the uniqueness and regularity of the primitive equations imposing additional anisotropic regularity

Cites Work

• An analysis of a mixed finite element method for the Navier-Stokes equations
• On the strong solutions of the primitive equations in 2D domains
• Anisotropic estimates and strong solutions of the primitive equations.
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• An intrinsic analysis of existence of solutions for the hydrostatic approximation of Navier–Stokes equations
• Regularity results for stokes type systems
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