Pointwise estimates for Green's kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone

Abstract

The paper deals with a mixed boundary value problem for the Stokes system in a polyhedral cone. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the sides of the polyhedron. The authors obtain regularity results for weak solutions in weighted $L_2$ Sobolev spaces and prove point estimates of Green's matrix.

44 pages

References in corpus (1)

• Lp estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains