刊物主题:Fluid- and Aerodynamics; Mathematical Methods in Physics; Classical and Continuum Physics;
出版者:Springer International Publishing
ISSN:1422-6952
卷排序:19
文摘
In this paper we study the compressible Stokes equations with no-slip boundary condition on non-convex polygons and show a best regularity result that the solution can have without subtracting corner singularities. This is obtained by a suitable Helmholtz decomposition: \({{\rm {\bf u}}={\rm {\bf w}}+\nabla\varphi_R}\) with divw = 0 and a potential \({\varphi_R}\). Here w is the solution for the incompressible Stokes problem and \({\varphi_R}\) is defined by subtracting from the solution of the Neumann problem the leading two corner singularities at non-convex vertices.