1. Department of Applied Complex System, Kyoto University, Yoshida Hommachi, Sakyo-ku, Kyoto, 606-8317, Japan 2. Department of Mathematics and Physics Ikeda Naka Machi, Setsunan University, Neyagawa, 572-8508, Japan
Abstract:
We consider steady heat convections of compressible viscous fluids in the horizontal strip domain ${z_0 < z < z_0 + 1}$ under the gravity. Pattern formations are shown uniformly for ${z_0 geq Z_0}$. The limit of them as ${Z_0 rightarrow + infty}$ is that of Oberbeck-Boussinesq equations.