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

被引：399

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 47 条

[1] PARTIAL REGULARITY OF SUITABLE WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS [J].

CAFFARELLI, L ;

KOHN, R ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1982, 35 (06) :771-831

[2]

da Veiga HB, 2000, J MATH FLUID MECH, V2, P99

[3]

Escauriaza L, 2001, INDIANA U MATH J, V50, P1149

[4] Carleman inequalities and the heat operator [J].

Escauriaza, L .

DUKE MATHEMATICAL JOURNAL, 2000, 104 (01) :113-127

[5]

ESCAURIAZA L, 2003, IN PRESS ALGEBRA ANA, V15

[6]

Escauriaza L., 2002, ZAP NAUCH SEMINAROV, V288, P100

[7]

ESCAURIAZA L, IN PRESS ARCH RATION

[8]

ESCAURIAZA L, IN PRESS ARK MAT

[9]

Galdi GP, 2000, ADV MATH FLUID MECH, P1

[10] ABSTRACT LP ESTIMATES FOR THE CAUCHY-PROBLEM WITH APPLICATIONS TO THE NAVIER-STOKES EQUATIONS IN EXTERIOR DOMAINS [J].

GIGA, Y ;

SOHR, H .

JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 102 (01) :72-94

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