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Dissipativity of Three-Dimensional Stochastic Navier-Stokes Equation

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Seminar on Stochastic Analysis, Random Fields and Applications

Part of the book series: Progress in Probability ((PRPR,volume 36))

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.

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References

  1. A. Bensoussan, R. Temam, Equations stochastiques du type Navier-Stokes, J. Func. Anal. 13 (1973), 195 - 222.

    Article  MathSciNet  MATH  Google Scholar 

  2. P. Constantin, C. Foias, R. Temam, Attractors representing turbolent flows, Memoirs of AMS 53, n. 314, n. 314 (1985).

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  3. H. Crauel, F. Flandoli, Attractors for random dynamical systems,preprint n. 148, Scuola Normale Superiore, Pisa, (1992) (to appear on Prob. Th. Rel. Fields).

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  4. G. Da Prato, J. Zabczyk, Stochastic Equations in Infinite Dimensions, Cambridge, 1992.

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  5. H. Fujita Yashima, Equations de Navier-Stokes Stochastiques non Homogenes et Applications, Scuola Normale Superiore, Pisa, 1992.

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  6. J. L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Dunod, Paris, 1969.

    MATH  Google Scholar 

  7. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.

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  8. R. Temam, Navier-Stokes Equations and Nonlinear Functional Analysis, SIAM, Philadelphia, 1983.

    Google Scholar 

  9. R. Temam, Navier-Stokes Equations, North-Holland, Amsterdam, 1984.

    MATH  Google Scholar 

  10. R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, New York, 1988.

    Book  MATH  Google Scholar 

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© 1995 Springer Basel AG

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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

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  • 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

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