STATISTICAL SOLUTIONS OF STOCHASTIC NAVIER-STOKES EQUATIONS

被引：5

作者：

CAPINSKI, M ^{[1
]}

CUTLAND, NJ ^{[1
]}

机构：

[1] UNIV HULL,SCH MATH,KINGSTON HULL HU6 7RX,N HUMBERSIDE,ENGLAND

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1994年 / 43卷 / 03期

关键词：

D O I：

10.1512/iumj.1994.43.43040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Existence of statistical solutions to general stochastic Navier-Stokes equations with feedback in forces and the noise term is obtained without referring to the individual solutions to the equations. The approach employs nonstandard analysis to represent the measures involved by nonstandard densities.

引用

页码：927 / 940

页数：14

共 11 条

[1] Albeverio S., 1986, NONSTANDARD METHODS
[2] Capinski M., 1991, Mathematical Models & Methods in Applied Sciences, V1, P447, DOI 10.1142/S0218202591000228
[3] STOCHASTIC NAVIER-STOKES EQUATIONS
CAPINSKI, M
CUTLAND, N
[J]. ACTA APPLICANDAE MATHEMATICAE, 1991, 25 (01) : 59 - 85
[4] CAPINSKI M, IN PRESS STOCHASTICS
[5] CUTLAND N, 1988, NONSTANDARD ANAL ITS
[6] NONSTANDARD MEASURE-THEORY AND ITS APPLICATIONS
CUTLAND, NJ
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1983, 15 (NOV) : 529 - 589
[7] FOIAS C, 1973, REND SEM MATH U PADO, V48, P219
[8] Hurd AE, 1985, INTRO NONSTANDARD RE
[9] Stroock Daniel W., 1979, MULTIDIMENSIONAL DIF
[10] Temam R., 1983, NAVIER STOKES EQUATI

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