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hal-00461506, version 1

On Large Deviation Principle and inviscid hydrodynamical models

Annie Millet () 1

Workshop on Stochastic Partial Differential Equations, Isaac Newton Institute for Mathematical ciences, Opening conference of the Semester "SPDEs" (2010) http://www.newton.ac.uk/programmes/SPD/seminars/010610001.html

Résumé : We present some recent results jointly proven with H. Bessaih about a Large Deviations Principle for solutions to stochastic hydrodynamical equations when the viscosity coefficient converges to 0 and the multiplicative noise is multiplied by its square root. The good rate function is described in terms of the solution to a deterministic inviscid control equation, which is more irregular in the space variable than the solution to the SPDE. This forces us to use either a smaller space or a weaker topology than the "natural ones". The proof uses the weak convergence approach to LDP.

  • 1 :  Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) (SAMM)
  • Université Paris I - Panthéon-Sorbonne
  • Domaine : Mathématiques/Probabilités
  • Commentaire : http://www.newton.ac.uk/programmes/SPD/seminars/010610001.html
 
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  • Contributeur : Annie Millet <>
  • Soumis le : Jeudi 4 Mars 2010, 16:55:54
  • Dernière modification le : Jeudi 26 Avril 2012, 21:38:01