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

页码：277 / 288

页数：12

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