【摘 要】
：
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-hy
【机 构】
：
Laboratoire MAPMO(UMR 6628),Laboratoire de Mathématiques et Applications,INRIA
【基金项目】
：
the ANR;the National Science Foundation;the Research Fund of Indiana University
论文部分内容阅读
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.
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