Compressible primitive equation: formal derivation and stability of weak solutions

Details Compressible primitive equation: formal derivation and stability of weak solutions Compressible primitive equation: formal derivation and stability of weak solutions

2010-06-14

arxiv.org/abs/1006.2606v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We present a formal derivation of a simplified version of Compressible Primitive Equations (CPEs) for atmosphere modeling. They are obtained from $3$-D compressible Navier-Stokes equations with an \emph{anisotropic viscous stress tensor} where viscosity depends on the density. We then study the stability of the weak solutions of this model by using an intermediate model, called model problem, which is more simple and practical, to achieve the main result.

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