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| HAL : hal-00250132, version 3 |
| arXiv : 0802.1335 |
| DOI : 10.1016/j.spa.2008.10.004 |
| Fiche détaillée |  Récupérer au format |
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| Stochastic Processes and their Applications 119, 6 (2009) 2052-2081 |
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| Versions disponibles : | v1 (10-02-2008) | v2 (11-09-2008) | v3 (07-11-2008) |
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| Large deviations for the Boussinesq Equations under Random Influences |
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| Jinqiao Duan 1Annie Millet 2, 3, 4 |
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| (06/2009) |
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| A Boussinesq model for the Benard convection under random influences is considered as a system of stochastic partial differential equations. This is a coupled system of stochastic Navier-Stokes equations and the transport equation for temperature. Large deviations are proved, using a weak convergence approach based on a variational representation of functionals of infinite dimensional Brownian motion. |
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| 1 : | Laboratory for Stochastics and Dynamics (IIT) |
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Illinois Institute of Technologie |
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| 2 : | Centre d'économie de la Sorbonne (CES) |
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CNRS : UMR8174 – Université Paris I - Panthéon Sorbonne |
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| 3 : | Statistique Appliquée et MOdélisation Stochastique (SAMOS) |
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Université Paris I - Panthéon Sorbonne |
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| 4 : | Laboratoire de Probabilités et Modèles Aléatoires (LPMA) |
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CNRS : UMR7599 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot |
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| SAMOS-MATISSE-CES |
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| Domaine | : | Mathématiques/Probabilités |
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| Boussinesq equations – Benard convection – large deviations – stochastic PDEs – stochastic Navier-Stokes equations – impact of noise on system evolution – multiplicative noise |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00250132, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00250132 | |
| oai:hal.archives-ouvertes.fr:hal-00250132 | |
| Contributeur : Annie Millet | |
| Soumis le : Vendredi 7 Novembre 2008, 11:39:28 | |
| Dernière modification le : Mardi 12 Mai 2009, 16:12:15 | |
