A singular expansion of solution for a regularized compressible Stokes system

Abstract

A compressible Stokes system is considered in a sector of the plane. The continuity equation is regularized by adding the diffusion term -epsilonDeltap. We give a high-order expansion of corner singularities for the regularized system when the corner singularities for the Laplacian are implemented. A solution formula is constructed in an abstract way, and new associate singular functions are introduced for extracting high-order corner singularities. In the expansion, the smoother parts of the associate singular functions are used.