Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations

Nonlinear Differential Equations and Applications

Volumn 4, Issue 2, 1997, Pages 185-200

  Capiński, Marek ^a   Peszat, Szymon ^b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5844302324     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001415     Document Type: Article

References (13)

1. M. CAPIŃSKI, N. J. CUTLAND, Stochastic Navier-Stokes equations, Acta Appl. Math. 25, 59-85 (1991).
2. M. CAPIŃSKI, N. J. CUTLAND, Navier-Stokes equations with multiplicative noise, Nonlinearity 6, 71-77 (1993).
3. M. CAPIŃSKI, D. GA̧TAREK, Stochastic equations in Hubert space with application to Navier-Stokes equations in any dimension, J. Funct. Anal. 126, 20-35 (1994).
4. G. DA PRATO, S. KWAPIEŃ, J. ZABCZYK, Regularity of solutions of linear stochastic equations in Hilbert spaces, Stochastics 23, 1-23 (1987).
5. G. DA PRATO, J. ZABCZYK, Stochastic equations in infinite dimensions, Cambridge University Press, Cambridge 1992.
6. A. PAZY, Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, New York 1983.
7. J. L. LIONS, E. MAGENES, Non-homogeneous boundary value problems and applications Vol. II, Springer-Verlag, Berlin-Heidelberg-New York 1972.
8. S. PESZAT, Exponential tail estimates for infinite-dimensional stochastic convolutions, Bull. Polish Acad. Sci. 40, 323-333 (1992).
9. S. PESZAT, Existence and uniqueness of the solution for stochastic equations on Banach space, Stochastics and Stochastics Rep., to appear.
10. B. SCHMALFUß, Measure attractors of the stochastic Navier-Stokes equations, Report 285, Institute für Dynamische Systeme, Universität Bremen 1991.
11. R. TEMAM, Navier-Stokes equations, North-Holland, Amsterdam 1979.
12. R. TEMAM, Navier-Stokes equations and nonlinear functional analysis, SIAM, Philadelphia 1983.
13. M. J. VISHIK, A. V. FURSIKOV, Mathematical problems of statistical hydromechanics, Kluwer Academic Press, Dordrecht-Boston-London 1988.