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Martingale and stationary solutions for stochastic Navier-Stokes equations
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  • Published: September 1995

Martingale and stationary solutions for stochastic Navier-Stokes equations

  • Franco Flandoli1 &
  • Dariusz Gatarek2 

Probability Theory and Related Fields volume 102, pages 367–391 (1995)Cite this article

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Summary

We prove the existence of martingale solutions and of stationary solutions of stochastic Navier-Stokes equations under very general hypotheses on the diffusion term. The stationary martingale solutions yield the existence of invariant measures, when the transition semigroup is well defined. The results are obtained by a new method of compactness.

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Authors and Affiliations

  1. Scuola Normale Superiore, Piazza dei Cavalieri 7, I-50100, Pisa, Italy

    Franco Flandoli

  2. Systems Research Institute, Newelska 6, 01-447, Warszawa, Poland

    Dariusz Gatarek

Authors
  1. Franco Flandoli
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  2. Dariusz Gatarek
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Flandoli, F., Gatarek, D. Martingale and stationary solutions for stochastic Navier-Stokes equations. Probab. Th. Rel. Fields 102, 367–391 (1995). https://doi.org/10.1007/BF01192467

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  • Received: 06 May 1994

  • Revised: 30 December 1994

  • Issue Date: September 1995

  • DOI: https://doi.org/10.1007/BF01192467

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Mathematics Subject Classification

  • 60H15
  • 76D05
  • 35Q10
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