依赖于温度的Stokes流体Phragmén-Lindelof型二择一结果

Phragmén-Lindelof Type Alternative Result for a Temperature Dependent Stokes Fluid

考虑了定义在半无穷柱体上的经常用于描述多孔介质中流体的Stokes方程组.利用能量估计的方法和微分不等式技术,推导了关于辅助函数的一个微分不等式,通过解此微分不等式证明了解随距离呈多项式增长或呈指数式衰减.

The Stokes equations defined on a semi-infinite cylinder,which were often used to describe the fluid in porous media,were considered.A differential inequality for the auxiliary function was derived through the method of energy estimation and the technique of differential inequality.By solving the differential inequality,the results that solutions grew polynomially or decayed exponentially with distance were proved.