Regularity results for the stationary primitive equations of the atmosphere and the ocean

DOI10.1016/0362-546X(95)00154-NzbMath0863.35085OpenAlexW2070324913MaRDI QIDQ5689193

Mohammed Ziane

Publication date: 3 June 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00154-n

zbMATH Keywords

primitive equations of the atmospherelarge scale equations of the oceanregularity in domains with corners

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05)

Related Items

Continuous data assimilation for the 3D primitive equations of the ocean ⋮ Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces ⋮ Averaging method applied to the three-dimensional primitive equations ⋮ First-Order Decoupled Finite Element Method of the three-Dimensional Primitive Equations of the Ocean ⋮ Unnamed Item ⋮ Well-posedness of the hydrostatic Navier-Stokes equations ⋮ Small-time existence of a strong solution of primitive equations for the ocean ⋮ The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds ⋮ On two-dimensional large-scale primitive equations in oceanic dynamics. II ⋮ Phase transition models in atmospheric dynamics ⋮ Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations ⋮ Mathematical Analysis and Optimal Control Problems for the Perturbation of the Primitive Equations of the Ocean with Vertical Viscosity ⋮ First order decoupled method of the primitive equations of the ocean: I: Time discretization ⋮ Thermohaline circulation and geostrophic planetary equation: physical, numerical and mathematical properties ⋮ Numerical investigation of the regularity of the pressure for the primitive equations of the ocean ⋮ Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Regularity results for Stokes type systems related to climatology
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Multiplication dans les espaces de Besov
• Regularity results for stokes type systems

This page was built for publication: Regularity results for the stationary primitive equations of the atmosphere and the ocean