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

[31] Regularity for the Navier-Stokes Equations with a Solution in a Morrey Space [J].

Kukavica, Igor .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (06) :2843-2860

[32] LEGENDRE SPECTRAL-FINITE ELEMENT METHOD FOR THE THREE-DIMENSIONAL UNSTEADY NAVIER-STOKES EQUATION [J].

何松年 ;

杨彩萍 .

Numerical Mathematics A Journal of Chinese Universities(English Series), 1997, (02) :163-175

[33] Several refined regularity criteria for the Navier-Stokes equations [J].

Wu, Fan .

ANNALES POLONICI MATHEMATICI, 2024, 133 (01) :71-80

[34] On the Regularity Conditions of Suitable Weak Solutions of the 3D Navier-Stokes Equations [J].

Chae, Dongho .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2010, 12 (02) :171-180

[35] Exact solutions to Euler equation and Navier-Stokes equation [J].

Liu, Mingshuo ;

Li, Xinyue ;

Zhao, Qiulan .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (02)

[36] ATTRACTORS FOR THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DAMPING [J].

Song, Xue-Li ;

Hou, Yan-Ren .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 (01) :239-252

[37] Vortex stretching and criticality for the three-dimensional Navier-Stokes equations [J].

Dascaliuc, R. ;

Grujic, Z. .

JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (11)

[38] SOLUTIONS TO THREE-DIMENSIONAL NAVIER-STOKES EQUATIONS FOR INCOMPRESSIBLE FLUIDS [J].

Jormakka, Jorma .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,

[39] The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions [J].

Neustupa, Jiri ;

Al Baba, Hind .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 463 (01) :222-234

[40] ANALYSIS OF SOME ASSUMPTIONS OF NAVIER-STOKES EQUATION [J].

Budarin, V. .

PROBLEMELE ENERGETICII REGIONALE, 2010, (02) :59-65

← 1 2 3 4 5 →