Mixed boundary value problems for the Navier-Stokes system in polyhedral domains

Details Mixed boundary value problems for the Navier-Stokes system in polyhedral domains Mixed boundary value problems for the Navier-Stokes system in polyhedral domains

2006-02-22

arxiv.org/abs/math-ph/0602054v1

Physics

Mathematical Physics

30 pages, 3 figures

Scientific paper

Mixed boundary value problems for the Navier-Stokes system in a polyhedral
domain are considered. Different boundary conditions (in particular, Dirichlet,
Neumann, slip conditions) are prescribed on the faces of a polyhedron. The
authors obtain regularity results for weak solutions in weighted (and
non-weighted) L_p Sobolev and H\"older spaces.

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