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
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
收藏
页码:927 / 940
页数:14
相关论文
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 [J].
CAPINSKI, M ;
CUTLAND, N .
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 [J].
CUTLAND, NJ .
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