Quasi-hydrostatic primitive equations for ocean global circulation models
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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 fluid 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.
KeywordsHydrostatic approximation Coriolis force Ocean global circulation models Primitive equations Traditional approximation
2000 MR Subject Classification76M45 76U05 35B40 35Q35 76M20
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