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
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
收藏
页码:525 / 536
页数:12
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