On the boundary regularity of suitable weak solutions to the Navier-Stokes equations

被引：0
作者：
Wolf J. [1 ]
机构：
[1] Otto-von-Guericke University Magdeburg, Magdeburg
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2010年 / 56卷 / 1期
关键词：
Local boundary regularity; Navier-Stokes equations; Partial regularity;
D O I：
10.1007/s11565-010-0091-3
中图分类号：
学科分类号：
摘要：
We consider suitable weak solutions to an incompressible viscous Newtonian fluid governed by the Navier-Stokes equations in the half space. Our main result is a direct proof of the partial regularity up to the flat boundary based on a new decay estimate, which implies the regularity in the cylinder with ε0 sufficiently small. In addition, we get a new condition for the local regularity beyond Serrin's class which involves the L2-norm of ∇u and the L3/2-norm of the pressure. © 2010 Università degli Studi di Ferrara.
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页码：97 / 139
页数：42
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