Compressible primitive equations: formal derivation and stability of weak solutions

被引：20

作者：

Ersoy, Mehmet ^{[1
,3
]}

Ngom, Timack ^{[1
,2
]}

Sy, Mamadou ^{[2
]}

机构：

[1] Univ Savoie, CNRS, LAMA, UMR 5127, F-73376 Le Bourget Du Lac, France

[2] Univ Gaston Berger St Louis, UFR SAT, LANI, St Louis, Senegal

[3] BCAM, Derio 48160, Basque Country, Spain

来源：

NONLINEARITY | 2011年 / 24卷 / 01期

关键词：

NAVIER-STOKES EQUATIONS; ATMOSPHERE;

D O I：

10.1088/0951-7715/24/1/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a formal derivation of compressible primitive equations for atmosphere modelling. They are obtained from the 3D compressible Navier-Stokes equations with an anisotropic viscous stress tensor depending on the density. Then, we study the stability of weak solutions to this problem by introducing an intermediate model obtained by a suitable change of variables. This intermediate model is more practical and it is simpler to achieve the main result.

引用

页码：79 / 96

页数：18

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