$L^q$ estimates of weak solutions to the stationary Stokes equations around a rotating body
$L^q$ estimates of weak solutions to the stationary Stokes equations around a rotating body
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DOI：
10.2969/jmsj/1156342036
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发表时间：
2006-07
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影响因子：
--
通讯作者：
T. Hishida
中科院分区：
文献类型：
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作者：
T. Hishida
我们建立了具有旋转效应的定常Stokes方程在全空间和外区域上弱解的存在唯一性和L^q估计。该方程源于对绕常角速度旋转物体的粘性不可压缩流动的研究，它涉及到一个重要的漂移算子，具有无界的变系数，这造成了一些困难。
We establish the existence, uniqueness and $L^q$ estimates of weak solutions to the stationary Stokes equations with rotation effect both in the whole space and in exterior domains. The equation arises from the study of viscous incompressible flows around a body that is rotating with a constant angular velocity, and it involves an important drift operator with unbounded variable coefficient that causes some difficulties.