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| Quasi-hydrostatic Primitive Equations for Ocean Global Circulation Models |
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Citation： |
Carine LUCAS,Madalina PETCU,Antoine ROUSSEAU.Quasi-hydrostatic Primitive Equations for Ocean Global Circulation Models[J].Chinese Annals of Mathematics B,2010,31(6):939~952 |
| Page view： 2127
Net amount： 1110 |
Authors： |
Carine LUCAS; Madalina PETCU; Antoine ROUSSEAU; |
Foundation： |
the ANR (No. ANR-06-BLAN0306-01), the National Science Foundation (No.
NSF-DMS-0906440) and the Research Fund of Indiana University. |
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| Abstract： |
Global existence of weak and strong solutions to the quasi-hydrostatic primitive
equations is studied in this paper. This model, that derives from the full non-hydrostatic
model for geophysical
uid dynamics in the zero-limit of the aspect ratio, is more realistic
than the classical hydrostatic model, since the traditional approximation that consists in
neglecting a part of the Coriolis force is relaxed. After justifying the derivation of the
model, the authors provide a rigorous proof of global existence of weak solutions, and
well-posedness for strong solutions in dimension three. |
Keywords： |
Hydrostatic approximation, Coriolis force, Ocean global circulation
models, Primitive equations, Traditional approximation |
Classification： |
76M45, 76U05, 35B40, 35Q35, 76M20 |
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