Abstract
A three-dimensional stochastic Navier—Stokes equation is considered. The aim is to prove that the associated stochastic flow has a compact random absorbing set.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Bensoussan, R. Temam, Equations stochastiques du type Navier-Stokes, J. Func. Anal. 13 (1973), 195 - 222.
P. Constantin, C. Foias, R. Temam, Attractors representing turbolent flows, Memoirs of AMS 53, n. 314, n. 314 (1985).
H. Crauel, F. Flandoli, Attractors for random dynamical systems,preprint n. 148, Scuola Normale Superiore, Pisa, (1992) (to appear on Prob. Th. Rel. Fields).
G. Da Prato, J. Zabczyk, Stochastic Equations in Infinite Dimensions, Cambridge, 1992.
H. Fujita Yashima, Equations de Navier-Stokes Stochastiques non Homogenes et Applications, Scuola Normale Superiore, Pisa, 1992.
J. L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Dunod, Paris, 1969.
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
R. Temam, Navier-Stokes Equations and Nonlinear Functional Analysis, SIAM, Philadelphia, 1983.
R. Temam, Navier-Stokes Equations, North-Holland, Amsterdam, 1984.
R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, New York, 1988.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Basel AG
About this paper
Cite this paper
Crauel, H., Flandoli, F. (1995). Dissipativity of Three-Dimensional Stochastic Navier-Stokes Equation. In: Bolthausen, E., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications. Progress in Probability, vol 36. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7026-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7026-9_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7028-3
Online ISBN: 978-3-0348-7026-9
eBook Packages: Springer Book Archive