Existence of global stochastic flow and attractors for Navier-Stokes equations

被引：24

作者：

Capinski, M

Cutland, NJ

机构：

[1] NLU, Nowy Sacz Grad Sch Business, Dept Finance, PL-33300 Nowy Sacz, Poland

[2] Univ Hull, Dept Math, Hull HU6 7RX, N Humberside, England

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1999年 / 115卷 / 01期

关键词：

stochastic Navier-Stokes equations; stochastic flow; stochastic attractors;

D O I：

10.1007/s004400050238

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

For 2-D stochastic Navier-Stokes equations on the torus with multiplicative noise we construct a perfect cocycle and show the existence of global random compact attractors. The equations considered do not admit a pathwise method of solution.

引用

页码：121 / 151

页数：31

共 16 条

[1]

Albeverio S., 1986, NONSTANDARD METHODS

[2]

[Anonymous], 1988, NONSTANDARD ANAL ITS

[3]

ARKERYD LO, 1997, NATO ASI SERIES C, V493

[4] PERFECT COCYCLES THROUGH STOCHASTIC DIFFERENTIAL-EQUATIONS [J].

ARNOLD, L ;

SCHEUTZOW, M .

PROBABILITY THEORY AND RELATED FIELDS, 1995, 101 (01) :65-88

[5] PATHWISE GLOBAL ATTRACTORS FOR STATIONARY RANDOM DYNAMIC-SYSTEMS [J].

BRZEZNIAK, Z ;

CAPINSKI, M ;

FLANDOLI, F .

PROBABILITY THEORY AND RELATED FIELDS, 1993, 95 (01) :87-102

[6] STOCHASTIC NAVIER-STOKES EQUATIONS WITH MULTIPLICATIVE NOISE [J].

BRZEZNIAK, Z ;

CAPINSKI, M ;

FLANDOLI, F .

STOCHASTIC ANALYSIS AND APPLICATIONS, 1992, 10 (05) :523-532

[7]

BRZEZNIAK Z, 1991, MATH MOD METH APPL S, V1, P41, DOI DOI 10.1142/S0218202591000046

[8] Attractors for three-dimensional Navier-Stokes equations [J].

Capinski, M ;

Cutland, NJ .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1966) :2413-2426

[9] NAVIER-STOKES EQUATIONS WITH MULTIPLICATIVE NOISE [J].

CAPINSKI, M ;

CUTLAND, NJ .

NONLINEARITY, 1993, 6 (01) :71-78

[10] STOCHASTIC NAVIER-STOKES EQUATIONS [J].

CAPINSKI, M ;

CUTLAND, N .

ACTA APPLICANDAE MATHEMATICAE, 1991, 25 (01) :59-85

← 1 2 →