Electronic Resource
Springer
Acta applicandae mathematicae
25 (1991), S. 59-85
ISSN:
1572-9036
Keywords:
76D05
;
35Q30
;
60H15
;
26E35
;
28E05
;
Navier-Stokes
;
stochastic partial differential equations (SPDE's)
;
nonstandard analysis
;
Loeb space
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We construct a solution to stochastic Navier-Stokes equations in dimension n≤4 with the feedback in both the external forces and a general infinite-dimensional noise. The solution is unique and adapted to the Brownian filtration in the 2-dimensional case with periodic boundary conditions or, when there is no feedback in the noise, for the Dirichlet boundary condition. The paper uses the methods of nonstandard analysis.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00047665
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