Small-time existence of a strong solution of primitive equations for the ocean

DOI10.3836/tjm/1342701347zbMath1270.35326OpenAlexW1990074206MaRDI QIDQ447808

Atusi Tani, Hirotada Honda

Publication date: 29 August 2012

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1342701347

zbMATH Keywords

Sobolev-Slobodetskii spacesunique strong solutionweather forecast

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Incompressible viscous fluids (76D99) PDEs of mixed type (35M10) Meteorology and atmospheric physics (86A10) Free boundary problems for PDEs (35R35)

Related Items (6)

Some boundedness of solutions for the primitive equations of the atmosphere and the ocean ⋮ Solvability of primitive equations for the ocean with vertical mixing ⋮ Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation ⋮ Small-time solvability of the primitive equations for the coupled atmosphere and ocean model ⋮ The Barotropic Quasi-Geostrophic Equation under a Free Surface ⋮ Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing

Cites Work

• Large-time regularity of viscous surface waves
• Large-time existence of surface waves of compressible viscous fluid
• Surface waves for a compressible viscous fluid
• On mathematical problems for the primitive equations of the ocean: The mesoscale midlatitude case
• Asymptotic analysis of the primitive equations under the small depth assumption
• Anisotropic estimates and strong solutions of the primitive equations.
• Large-time existence of surface waves in incompressible viscous fluids with or without surface tension
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• A numerical model for viscous, free-surface, barotropic wind driven ocean circulations
• A numerical method for the Study of the circulation of the world ocean
• Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics
• On the equations of the large-scale ocean
• Regularity results for the stationary primitive equations of the atmosphere and the ocean
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