The Role of the Pressure in the Partial Regularity Theory for Weak Solutions of the Navier-Stokes Equations

被引：11

作者：

Chamorro, Diego ^{[1
,2
]}

Lemarie-Rieusset, Pierre-Gilles ^{[1
,2
]}

Mayoufi, Kawther ^{[1
,2
]}

机构：

[1] Univ Evry Val dEssonne, IBGBI, LaMME, UMR CNRS 8071, 23 Blvd France, F-91037 Evry, France

[2] Univ Evry Val dEssonne, IBGBI, ENSIIE, 23 Blvd France, F-91037 Evry, France

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2018年 / 228卷 / 01期

关键词：

INTERIOR REGULARITY; PROOF;

D O I：

10.1007/s00205-017-1191-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the role of the pressure in the partial regularity theory for weak solutions of the Navier-Stokes equations. By introducing the notion of dissipative solutions, due to Duchon and Robert (Nonlinearity 13:249-255, 2000), we will provide a generalization of the Caffarelli, Kohn and Nirenberg theory. Our approach sheels new light on the role of the pressure in this theory in connection to Serrin's local regularity criterion.

引用

页码：237 / 277

页数：41

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