Conditions implying regularity of the three dimensional navier-stokes equation

被引：3

作者：

Montgomery-Smith S. ^{[1
]}

机构：

[1] Department of Mathematics, University of Missouri, Columbia

来源：

Applications of Mathematics | 2005年 / 50卷 / 05期

基金：

美国国家科学基金会;

关键词：

Beale-Kato-Majda condition; Navier-Stokes equation; Orlicz norm; Prodi-Serrin condition; stochastic method; vorticity;

D O I：

10.1007/s10492-005-0032-0

中图分类号：

学科分类号：

摘要：

We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foias, Guillope and Temam. © 2005 Mathematical Institute, Academy of Sciences of Czech Republic.

引用

页码：451 / 464

页数：13

共 50 条

[21] OBSERVERS FOR COMPRESSIBLE NAVIER-STOKES EQUATION [J].

Apte, Amit ;

Auroux, Didier ;

Ramaswamy, Mythily .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (02) :1081-1104

[22] The Navier-Stokes equation in noncylindrical domain [J].

Miranda, MM ;

Límaco, J .

COMPUTATIONAL & APPLIED MATHEMATICS, 1997, 16 (03) :247-265

[23] Application of Navier-Stokes equation to lubrication [J].

Hong, YP ;

Chen, D ;

Kong, XM ;

Wang, JD .

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 44 :58-63

[24] RELAXATION METHOD FOR NAVIER-STOKES EQUATION [J].

De Oliveira, P. M. C. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2012, 23 (04)

[25] Navier-Stokes equation with hereditary viscosity [J].

Barbu, V ;

Sritharan, SS .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2003, 54 (03) :449-461

[26] Application of Navier-Stokes equation to lubrication [J].

HONG Yiping ;

CHEN Darong ;

KONG Xianmei ;

WANG Jiadao State Key Laboratory of Tribology .

Science China Mathematics, 2001, (S1) :58-63

[27] A Regularity Criterion for the Navier-Stokes Equation Involving Only the Middle Eigenvalue of the Strain Tensor [J].

Miller, Evan .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 235 (01) :99-139

[28] A STOCHASTIC NAVIER-STOKES EQUATION FOR THE VORTICITY OF A TWO-DIMENSIONAL FLUID [J].

Kotelenez, Peter .

ANNALS OF APPLIED PROBABILITY, 1995, 5 (04) :1126-1160

[29] On Some Regularity Criteria for Axisymmetric Navier-Stokes Equations [J].

Renclawowicz, Joanna ;

Zajaczkowski, Wojciech M. .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2019, 21 (04)

[30] Geometry of turbulent dissipation and the Navier-Stokes regularity problem [J].

Rafner, Janet ;

Grujic, Zoran ;

Bach, Christian ;

Baerentzen, Jakob Andreas ;

Gervang, Bo ;

Jia, Ruo ;

Leinweber, Scott ;

Misztal, Marek ;

Sherson, Jacob .

SCIENTIFIC REPORTS, 2021, 11 (01)

← 1 2 3 4 5 →