Heat Convection of Compressible Viscous Fluids: I

被引：6

作者：

Nishida, Takaaki ^{[1
]}

Padula, Mariarosaria ^{[2
]}

Teramoto, Yoshiaki ^{[3
]}

机构：

[1] Kyoto Univ, Dept Appl Complex Syst, Sakyo Ku, Kyoto 6068317, Japan

[2] Univ Ferrara, Dept Math, I-44100 Ferrara, Italy

[3] Setsunan Univ, Dept Math & Phys, Neyagawa, Osaka 5728508, Japan

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2013年 / 15卷 / 03期

关键词：

Steady heat convection; Compressible viscous heat-conducting fluid; STOKES-FOURIER SYSTEM; ATMOSPHERE; EQUATIONS; INSTABILITY; FLOW;

D O I：

10.1007/s00021-012-0112-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stationary problem for the heat convection of compressible fluid is considered around the equilibrium solution with the external forces in the horizontal strip domain z (0) < z < z (0) + 1 and it is proved that the solution exists uniformly with respect to z (0) a parts per thousand yen Z (0). The limit system as z (0) -> + a is the Oberbeck-Boussinesq equations.

引用

页码：525 / 536

页数：12

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