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

Probability Theory and Related Fields

Volumn 115, Issue 1, 1999, Pages 121-151

  Capiński, Marek ^a   Cutland, Nigel J ^b  

^a Department of Finance   (Poland)

^b UNIVERSITY OF HULL   (United Kingdom)

Author keywords

Stochastic attractors; Stochastic flow; Stochastic Navier Stokes equations

Indexed keywords

EID: 0039440666     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050238     Document Type: Article

References (16)

1. S. Albeverio, J.-E. Fenstad, R. Høegh-Krohn, and T. Lindstrøm, Nonstandard Methods in Stochastic Analysis and Mathematical Physics, Academic Press, New York 1986
2. L. Arkeryd, N. J. Cutland, and C. W. Henson, Eds. Nonstandard Analysis, Theory and Applications, NATO ASI Series, Series C: Mathematics and Physical Sciences Vol.493, Kluwer Academic Publishers, Dordrecht - Boston - London 1997
3. L. Arnold and M. Scheutzow, Perfect cocycles through stochastic differential equations, Probability Theory and Related Fields 101, 65-88 (1995)
4. Z. Brzeźniak, M. Capiński, and F. Flandoli Deterministic attractors of ergodic stochastic flows, Probability Theory and Related Fields 95, 87-102 (1993)
5. Z. Brzeźniak, M. Capiński, and F. Flandoli, Stochastic partial differential equations and turbulence, Mathematical Models and Methods in Applied Sciences 1, No. 1 (1991), 41-59
6. Z. Brzeźniak, M. Capiński, and F. Flandoli Stochastic Navier-Stokes equations with multiplicative noise, Stochastic Analysis and Applications 105, 523-532, (1992)
7. M. Capiński, N.J. Cutland, Stochastic Navier-Stokes equations, Acta Applicandae Mathematicae 25, 59-95 (1991)
8. M. Capiński, N.J. Cutland, Navier-Stokes equations with mutliplicative noise, Non-linearity 6, 71-77, (1993)
9. M. Capiński, N.J. Cutland, Nonstandard Methods for Stochastic Fluid Mechanics, Series on Advances in Mathematics for Applied Sciences, Vol. 27, World Scientific, Singapore 1995
10. M. Capiriski, N.J. Cutland, Attractors for 3-D Navier-Stokes equations, Proc. Royal Society London A 453, 2413-2426, (1997)
11. N.J. Cutland, Nonstandard measure theory and its applications, J. London Math. Soc. 27, 529-589, (1983)
12. N.J. Cutland (ed.), Nonstandard Analysis and its Applications, Cambridge University Press, Cambridge 1988
13. H. Crauel and F. Flandoli, Attractors for random dynamical systems, Probability Theory and Related Fields 100, 365-393, (1994)
14. A.E. Hurd and P.A. Loeb, An Introduction to Nonstandard Real Analysis, Academic Press, New York 1985
15. R. Temam, Navier-Stokes equations, North-Holland, Amsterdam 1979
16. R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, New York 1988