Mixed boundary value problems for the Navier-Stokes system in polyhedral domains
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0602054,
title = {Mixed boundary value problems for the Navier-Stokes system in polyhedral domains},
author = {V. G. Maz'ya and J. Rossmann},
journal= {arXiv preprint arXiv:math-ph/0602054},
year = {2007}
}
Comments
30 pages, 3 figures