Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing

DOI10.1051/m2an/2014061zbMath1317.35200OpenAlexW2017008397MaRDI QIDQ5254434

Hirotada Honda

Publication date: 9 June 2015

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2014061

zbMATH Keywords

strong solutionprimitive equationsSobolev-Slobodetskiĭ space

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) PDEs of mixed type (35M10) Free boundary problems for PDEs (35R35) Strong solutions to PDEs (35D35)

Related Items (1)

The Barotropic Quasi-Geostrophic Equation under a Free Surface

Cites Work

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• Small-time existence of a strong solution of primitive equations for the ocean
• Large-time regularity of viscous surface waves
• A numerical method for the study of the circulation of the world ocean
• Surface waves for a compressible viscous fluid
• On mathematical problems for the primitive equations of the ocean: The mesoscale midlatitude case
• On the strong solutions of the primitive equations in 2D domains
• Asymptotic analysis of the primitive equations under the small depth assumption
• Anisotropic estimates and strong solutions of the primitive equations.
• The primitive equations on the large scale ocean under the small depth hypothesis.
• 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 global numerical ocean model. I
• A numerical model for viscous, free-surface, barotropic wind driven ocean circulations
• 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
• On the Two-Dimensional Hydrostatic Navier--Stokes Equations
• Regularity results for stokes type systems
• Regularity results for the stationary primitive equations of the atmosphere and the ocean

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