Mixed Boundary Value Problems for the Stationary Navier–Stokes System in Polyhedral Domains

被引：0
作者：
V. Maz’ya
J. Rossmann
机构：
[1] University of Liverpool,Department of Mathematical Sciences
[2] Linköping University,Department of Mathematics
[3] University of Rostock,Institute of Mathematics
来源：
Archive for Rational Mechanics and Analysis | 2009年 / 194卷
关键词：
Weak Solution; Dirichlet Problem; Regularity Result; Dirichlet Condition; Small Positive Number;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The authors consider boundary value problems for the Navier–Stokes system in a polyhedral domain, where different boundary conditions (in particular, Dirichlet, Neumann, slip conditions) are arbitrarily combined on the faces of the polyhedron. They prove existence and regularity theorems for weak solutions in weighted (and nonweighted) Lp Sobolev and Hölder spaces with sharp integrability and smoothness parameters.
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页码：669 / 712
页数：43
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