The Pressure Singularity for Compressible Stokes Flows in a Concave Polygon
The Pressure Singularity for Compressible Stokes Flows in a Concave Polygon
复制标题
凹多边形中可压缩斯托克斯流的压力奇异性
DOI：
--
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
R. Kellogg
中科院分区：
文献类型：
--
作者：
J. Kweon;R. Kellogg
摘要研究了具有一个凹顶点的多边形中的可压缩Stokes系统。得到了高达二阶的角点奇异性展开。该展开式包含通常的角点速度奇点函数，加上一个“相关”速度奇点函数和一个压力奇点函数。特别是，压力的奇异性不是局部的，而是沿着从进入的凹顶发出的流线发生的。可以观察到，压力的某些一阶导数沿着从凹顶发出的环境流的流线变得无限大。对于余数，证明了其高阶正则性。
Abstract.A compressible Stokes system is studied in a polygon with one concave vertex. A corner singularity expansion is obtained up to second order. The expansion contains the usual corner singularity functions for the velocity plus an “associated” velocity singular function, and a pressure singular function. In particular the singularity of pressure is not local but occurs along the streamline emanating from the incoming concave vertex. It is observed that certain first derivatives of the pressure become infinite along the streamline of the ambient flow emanating from the concave vertex. Higher order regularity is shown for the remainder.