Asymptotics and stability for global solutions to the Navier-Stokes equations

被引：82

作者：

Gallagher, I ^{[1
]}

Iftimie, D

Planchon, F

机构：

[1] Ecole Polytech, Ctr Math, UMR 7640, F-91128 Palaiseau, France

[2] Univ Rennes 1, IRMAR, UMR 6625, F-35042 Rennes, France

[3] Univ Paris 13, Lab Anal Geometrie & Applicat, UMR 7539, Inst Galilee, F-93430 Villetaneuse, France

来源：

ANNALES DE L INSTITUT FOURIER | 2003年 / 53卷 / 05期

关键词：

Navier-Stokes equations; large time asymptotics; stability;

D O I：

10.5802/aif.1983

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an a priori global strong solution to the Navier-Stokes equations. We prove it behaves like a small solution for large time. Combining this asymptotics with uniqueness and averaging in time properties, we obtain the stability of such a global solution.

引用

页码：1387 / +

页数：39

共 22 条

[1]

AUSCHER P, IN PRESS J MATH PURE

[2]

BONY JM, 1981, ANN SCI ECOLE NORM S, V14, P209

[3] EXISTENCE OF WEAK SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS WITH INITIAL DATA IN LP [J].

CALDERON, CP .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 318 (01) :179-207

[4]

Cannone M, 2000, REV MAT IBEROAM, V16, P1

[5] GLOBAL EXISTENCE FOR THE INCOMPRESSIBLE NAVIER-STOKES SYSTEM [J].

CHEMIN, JY .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (01) :20-28

[6] FLOW OF NON-LIPSCHITZ VECTOR-FIELDS AND NAVIER-STOKES EQUATIONS [J].

CHEMIN, JY ;

LERNER, N .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 121 (02) :314-328

[7]

Chemin JY, 1999, J ANAL MATH, V77, P27, DOI 10.1007/BF02791256

[8]

Furioli G, 2000, REV MAT IBEROAM, V16, P605

[9] Non-blowup at large times and stability for global solutions to the Navier-Stokes equations [J].

Gallagher, I ;

Iftimie, D ;

Planchon, F .

COMPTES RENDUS MATHEMATIQUE, 2002, 334 (04) :289-292

[10]

GALLAGHER I, 2001, IN PRESS ARCH RAT ME

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