Regularity and stability for the solutions of the Navier-Stokes equations in Lorentz spaces

被引：10

作者：

Barraza, OA ^{[1
]}

机构：

[1] Natl Univ La Plata, Dept Matemat, RA-1900 La Plata, Argentina

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 35卷 / 06期

关键词：

partial differential equations; Navier-Stokes system; Navier-Stokes solution; selfsimilar solution; Lorentz spaces; weak L-p spaces; regularity of solutions; stability of solutions;

D O I：

10.1016/S0362-546X(98)00027-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

[No abstract available]

引用

页码：747 / 764

页数：18

共 50 条

[1] A regularity class for the Navier-Stokes equations in Lorentz spaces
Hermann Sohr
[J]. Journal of Evolution Equations, 2001, 1 : 441 - 467
[2] A regularity class for the Navier-Stokes equations in Lorentz spaces
Sohr, Hermann
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2001, 1 (04) : 441 - 467
[3] On the Deformation Tensor Regularity for the Navier-Stokes Equations in Lorentz Spaces
Huang, Shiguo
Ji, Xiang
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (04) : 2371 - 2380
[4] A remark on the regularity of weak solutions to the Navier-Stokes equations in terms of the pressure in Lorentz spaces
Suzuki, Tomoyuki
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (09) : 3849 - 3853
[5] Regularity Criteria of Weak Solutions in terms of the Pressure in Lorentz Spaces to the Navier-Stokes Equations
Suzuki, Tomoyuki
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2012, 14 (04) : 653 - 660
[6] Logarithmically improved regularity criteria for the Navier-Stokes equations in Lorentz spaces
Wei, Zhiqiang
Wang, Yu-Zhu
Wang, Yin-Xia
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (19) : 9848 - 9852
[7] Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces
Kozono, Hideo
Shimizu, Senjo
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 276 (03) : 896 - 931
[8] ON THE REGULARITY OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
Pata, Vittorino
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (02) : 747 - 761
[9] Regularity of solutions to the Navier-Stokes equations
Shananin, NA
[J]. MATHEMATICAL NOTES, 1996, 59 (5-6) : 574 - 578
[10] On the regularity of solutions to the Navier-Stokes equations
Lewalle, J
[J]. IUTAM SYMPOSIUM ON REYNOLDS NUMBER SCALING IN TURBULENT FLOW, 2004, 74 : 241 - 244

← 1 2 3 4 5 →