L3,∞-solutions of the Navier-Stokes equations and backward uniqueness

被引：398

作者：

Escauriaza, L ^{[1
]}

Seregin, G

Sverák, V

机构：

[1] Univ Basque Country, Dipartimento Matemat, Bilbao, Spain

[2] VA Steklov Math Inst, St Petersburg 191011, Russia

[3] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2003年 / 58卷 / 02期

关键词：

D O I：

10.1070/RM2003v058n02ABEH000609

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the L-3,L-infinity-solutions of the Cauchy problem for the three-dimensional Navier-Stokes equations are smooth.

引用

页码：211 / 250

页数：40

共 50 条

[21] A note on the uniqueness of mild solutions to the Navier-Stokes equations
Sadek Gala
Archiv der Mathematik, 2007, 88 : 448 - 454
[22] Remarks on the uniqueness of bounded solutions of the Navier-Stokes equations
Giga, Y
Inui, K
Kato, J
Matsui, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (06) : 4151 - 4156
[23] Remark on uniqueness of mild solutions to the Navier-Stokes equations
Miura, H
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 218 (01) : 110 - 129
[24] Uniqueness of weak solutions for fractional Navier-Stokes equations
Ding, Yong
Sun, Xiaochun
FRONTIERS OF MATHEMATICS IN CHINA, 2015, 10 (01) : 33 - 51
[25] On the uniqueness of weak solutions for the 3D Navier-Stokes equations
Chen, Qionglei
Miao, Changxing
Zhang, Zhifei
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (06): : 2165 - 2180
[26] Partial Regularity of Weak Solutions to the Navier-Stokes Equations in the Class L∞(0, T; L3(Ω)3)
Neustupa, Jiri
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 1999, 1 (04) : 309 - 325
[27] Quantitative Control of Solutions to the Axisymmetric Navier-Stokes Equations in Terms of the Weak L3 Norm
Ozanski, W. S.
Palasek, S.
ANNALS OF PDE, 2023, 9 (02)
[28] Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in L3
Reinhard Farwig
Tomoyuki Nakatsuka
Yasushi Taniuchi
Archiv der Mathematik, 2015, 104 : 539 - 550
[29] Time analyticity and backward uniqueness of weak solutions of the Navier-Stokes equations of multidimensional compressible flow
Hoff, David
Tsyganov, Eugene
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (10) : 3068 - 3094
[30] The Picard iterates for the Navier-Stokes equations in L3(R3)
Lemarie-Rieusset, Pierre Gilles
PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (10-12) : 1334 - 1345

← 1 2 3 4 5 →