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Vladimir Maz'ya, Ohio State University
Mixed boundary value problems for the Navier-Stokes system in polyhedral domains
Mixed boundary value problems for the Navier-Stokes system in polyhedral domains are considered. Different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the faces of the polyhedron. Sharp regularity results for weak solutions in weighted and non-weighted Lp Sobolev and Hölder spaces.