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

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

2004-12-20

arxiv.org/abs/math-ph/0412068v1

Physics

Mathematical Physics

44 pages

Scientific paper

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.

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