A regularity class for the Navier-Stokes equations in Lorentz spaces

被引：0

作者：

Hermann Sohr

机构：

[1] Fachbereich Mathematik-Informatik,

[2] Universität-GH,undefined

[3] Warburger Str. 100,undefined

[4] 33098 Paderborn,undefined

[5] e-mail: hsohr@math.uni-paderborn.de,undefined

来源：

Journal of Evolution Equations | 2001年 / 1卷

关键词：

Key words: Navier-Stokes equations, weak solutions, regularity.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We extend Serrin's regularity class for weak solutions of the Navier-Stokes equations to a larger class replacing the Lebesgue spaces by Lorentz spaces.

引用

页码：441 / 467

页数：26

共 50 条

[41] On Continuation Criteria for the Full Compressible Navier-Stokes Equations in Lorentz Spaces
Yanqing Wang
Wei Wei
Gang Wu
Yulin Ye
[J]. Acta Mathematica Scientia, 2022, 42 : 671 - 689
[42] Logarithmically improved regularity criteria for the Navier-Stokes equations in multiplier spaces
Zhou, Yong
Gala, Sadek
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) : 498 - 501
[43] Improved Quantitative Regularity for the Navier-Stokes Equations in a Scale of Critical Spaces
Palasek, Stan
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 242 (03) : 1479 - 1531
[44] INTERIOR AND BOUNDARY REGULARITY FOR THE NAVIER-STOKES EQUATIONS IN THE CRITICAL LEBESGUE SPACES
Dong, Hongjie
Wang, Kunrui
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (09) : 5289 - 5323
[45] Global Regularity to the Navier-Stokes Equations for a Class of Large Initial Data
Han, Bin
Chen, Yukang
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2018, 23 (02) : 262 - 286
[46] On the regularity criteria for the three-dimensional compressible Navier-Stokes system in Lorentz spaces
Wang, Yanqing
Wang, Yongfu
Ye, Yulin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (04) : 4763 - 4774
[47] Navier-Stokes Regularity Criteria in Vishik Spaces
Wu, Fan
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (SUPPL 1): : S39 - S53
[48] A remark on the Liouville problem for stationary Navier-Stokes equations in Lorentz and Morrey spaces
Jarrin, Oscar
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 486 (10)
[49] Scale separation and regularity of the Navier-Stokes equations
Doering, CR
Gibbon, JD
[J]. INTERMITTENCY IN TURBULENT FLOWS, 2001, : 77 - 85
[50] On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Chae, D
Lee, J
[J]. MATHEMATISCHE ZEITSCHRIFT, 2002, 239 (04) : 645 - 671

← 1 2 3 4 5 →