On the Stability of Weak Solution for Compressible Primitive Equations

被引：14

作者：

Tang, Tong ^{[1
]}

Gao, Hongjun ^{[2
,3
,4
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[4] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2015年 / 140卷 / 01期

基金：

中央高校基本科研业务费专项资金资助;

关键词：

Compressible Primitive equations; Weak solution; Stability; NAVIER-STOKES EQUATIONS; EXISTENCE; ATMOSPHERE; VISCOSITY;

D O I：

10.1007/s10440-014-9982-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a compressible Primitive Equations (CPEs) of the ocean in the two dimensional space, with horizontal periodic and vertical mixed boundary conditions. Thanks to an effective change of variables, we obtain a new CPEs model, which is similar as viscous shallow water equation. Using a new entropy estimate, we prove the stability of weak solutions for this new two dimensional CPEs model.

引用

页码：133 / 145

页数：13

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