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Existence of global stochastic flow and attractors for Navier–Stokes equations
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  • Published: August 1999

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

  • Marek Capiński1 &
  • Nigel J. Cutland2 

Probability Theory and Related Fields volume 115, pages 121–151 (1999)Cite this article

  • 139 Accesses

  • 21 Citations

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Abstract.

For 2-D stochastic Navier-Stokes equations on the torus with multiplicative noise we construct a perfect cocycle and show the existence of global random compact attractors. The equations considered do not admit a pathwise method of solution.

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Authors and Affiliations

  1. Department of Finance, Nowy Sa¸cz Graduate School of Business – NLU, Zielona 27, 33-300 Nowy Sa¸cz, Poland (e-mail: capinski@wsb-nlu.nowy-sacz.pl), , , , , , PL

    Marek Capiński

  2. Department of Mathematics, University of Hull, Hull, HU6 7RX, England (e-mail: N.J.Cutland@maths.hull.ac.uk), , , , , , GB

    Nigel J. Cutland

Authors
  1. Marek Capiński
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  2. Nigel J. Cutland
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Received: 9 June 1998 / Revised version: 17 December 1998

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Cite this article

Capiński, M., Cutland, N. Existence of global stochastic flow and attractors for Navier–Stokes equations. Probab Theory Relat Fields 115, 121–151 (1999). https://doi.org/10.1007/s004400050238

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  • Issue Date: August 1999

  • DOI: https://doi.org/10.1007/s004400050238

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  • Mathematics Subject Classification (1991): Primary 35Q30, 60H15, 60G60; Secondary 35R60, 76D05, 60J25
  • Key words and phrases. Stochastic Navier–Stokes equations, stochastic flow, stochastic attractors.
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