On the strong solutions of the primitive equations in 2D domains

DOI10.1016/S0362-546X(01)00773-8zbMath1013.35066MaRDI QIDQ1612597

Francisco Guillén-González, Maria Angeles Rodríguez-Bellido

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsuniquenessasymptotic behaviourmixed boundary conditionshydrostatic pressurelocal and global existence

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (6)

Local existence and uniqueness of strong solutions to the two dimensional nonhomogeneous incompressible primitive equations ⋮ Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations ⋮ Local existence and uniqueness of strong solution to the inhomogeneous primitive equations with vacuum ⋮ On the uniqueness and regularity of the primitive equations imposing additional anisotropic regularity ⋮ Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions ⋮ Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing

Cites Work

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• 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
• Elliptic Partial Differential Equations of Second Order
• An intrinsic analysis of existence of solutions for the hydrostatic approximation of Navier–Stokes equations
• Regularity results for stokes type systems
• Équations de Navier-Stokes en bassin peu profond: l'approximation hydrostatique

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