| Abstract: | A compressible Stokes system is considered in a sector of the plane. Thecontinuity equation is regularized by adding the diffusion term  . We give a high-order expansion of corner singularities for the regularized system when thecorner singularities for the Laplacian are implemented. A solution formula is constructedin an abstract way, and new associate singular functions are introducedfor extracting high-order corner singularities. In the expansion, the smoother partsof the associate singular functions are used.Communicated by Rafael D. Benguriasubmitted 14/11/02, revised 12/08/03, accepted 04/10/03 |
