Jürgen Roßmann

Green's matrix of the Stokes system in a convex polyhedron

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 65, 15 - 28 (2010)

MSC: 35J08   Green's functions
  35J57   Boundary value problems for second-order elliptic systems
  35Q30   Stokes and Navier-Stokes equations

Abstract:   The paper deals with the Dirichlet problem for the stationary Stokes system in a convex three-dimensional polyhedron. The author proves Hölder estimates for the elements of Green's matrix and their derivatives.

Keywords:   Stokes system, Green's matrix

Seite generiert am 15.12.2010,   15:47   Uhr