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| HAL: hal-00537662, version 2 |
| arXiv: 1011.4351 |
| DOI: 10.1137/110827235 |
| Detailed view |  Export this paper |
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| SIAM Journal on Mathematical Analysis 44, 3 (2012) 1861-1893 |
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| Available versions: | v1 (2010-11-19) | v2 (2012-04-27) |
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| Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition |
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| Hakima Bessaih 1Annie Millet 2, 3 |
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| (2012-07) |
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| Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root of the viscosity. Unlike previous results on LDP for hydrodynamical models, the weak convergence is proven by tightness properties of the distribution of the solution in appropriate functional spaces. |
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| 1: | Department of Mathematics, University of Wyoming |
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University |
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| 2: | Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) (SAMM) |
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Université Paris I - Panthéon-Sorbonne |
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| 3: | Laboratoire de Probabilités et Modèles Aléatoires (LPMA) |
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CNRS : UMR7599 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot |
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| Subject | : | Mathematics/Probability |
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| Models of turbulence – viscosity coefficient and Navier-Stokes equations – Euler equation – stochastic PDEs – Radonifying operators – large deviations |
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| hal-00537662, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00537662 | |
| oai:hal.archives-ouvertes.fr:hal-00537662 | |
| From: Annie Millet | |
| Submitted on: Thursday, 26 April 2012 23:06:15 | |
| Updated on: Wednesday, 8 August 2012 16:06:49 | |
