On the interior regularity of weak solutions to the non-stationary Stokes system

被引：1
|
作者：
Naumann, Joachim [1 ]
Wolf, Joerg [1 ]
机构：
[1] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2008年 / 40卷 / 1-3期
关键词：
non-stationary Stokes system; interior regularity;
D O I：
10.1007/s10898-007-9197-2
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we prove that any weak solution to the non-stationary Stokes system in 3D with right hand side -div f satisfying (1.4) below, belongs to C( ]0, T[; C-alpha (Omega)). The proof is based on Campanato-type inequalities and the existence of a local pressure introduced in Wolf [13].
引用
收藏
页码：277 / 288
页数：12
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