Global Solutions for the Heat Convection Equations in an Exterior Domain

Global Solutions for the Heat Convection Equations in an Exterior Domain
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外域热对流方程的全局解

DOI:
10.3836/tjm/1270130257
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发表时间:
1992
影响因子:
0.6
通讯作者:
Yoshio Yamada
Yoshio Yamada
中科院分区:
数学4区
文献类型:
--
作者:
T. Hishida;Yoshio Yamada

文献摘要

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。研究了加热球体外区域对流的非定常问题。在Boussinesq近似下,对流现象由Navier-Stokes方程组和热方程组控制。我们在边界和初值上fi和ffi充分条件,以确保该系统的$L^{p}$-解的整体存在性。
. A nonstationary problem of convection in the exterior domain to a heated sphere is studied. In the Boussinesq approximation, convection phenomena are governed by the system of the Navier-Stokes and heat equations. We find sufficient conditions on boundary and initial data to ensure the global existence of $L^{p}$ -solutions for this system.