Partial regularity for solutions of the modified Navier-Stokes equations

被引：0
|
作者：
Seregin G.A. [1 ]
机构：
[1] St. Petersburg Department of the Steklov Mathematical Institute,
来源：
Journal of Mathematical Sciences | 2002年 / 109卷 / 5期
关键词：
Boundary Condition; Singular Point; Stokes Equation; Dirichlet Boundary; Dirichlet Boundary Condition;
D O I：
10.1023/A:1014404727381
中图分类号：
学科分类号：
摘要：
The initial boundary-value problem for the modified Navier-Stokes equations is considered in the case of homogeneous Dirichlet boundary conditions. Under some assumptions, partial regularity for its solution is proved. It is shown that Hausdorff’s dimension of the set of singular points is not greater than three. © 2002 Plenum Publishing Corporation.
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页码：1984 / 1996
页数：12
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