An evolution compressible Stokes system in a polygon

Abstract

An evolution compressible Stokes system is studied in a polygon. A lowest order corner singularity by the Laplacian operator is sorted out and an increased regularity is established in a suitable Banach space. In the lowest level, for each time the order of the corner singularity of the system is the same as that of the Laplacian. In addition, a singular function for pressure is defined and shows that the corner singularities originated from the corners of polygon may propagate along the directed streamlines. (C) 2003 Elsevier Inc. All rights reserved.