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| HAL : hal-00383732, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Some theoretical results concerning diphasic fluids in thin films |
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| Guy Bayada 1, 2Laurent Chupin 1 |
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| (04/2009) |
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| We are interested in a model for diphasic fluids in thin flows taking into account both the hydrodynamical and the chemical effects at the interface between the two fluids. A limit problem in "thin films" is introduced heuristically. It is a system coupling the Reynolds equation and the hydrodynamical Cahn-Hilliard equation. We study the mathematical properties of this system, and prove an existence result under some smallness condition on the data. |
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| 1 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées de Lyon |
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| 2 : | Laboratoire de Mécanique des Contacts et des Structures (LaMCoS) |
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CNRS : UMR5259 – Institut National des Sciences Appliquées de Lyon |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00383732, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00383732/fr/ | |
| oai:hal.archives-ouvertes.fr:hal-00383732_v1 | |
| Contributeur : Bérénice Grec | |
| Soumis le : Mercredi 13 Mai 2009, 13:18:17 | |
| Dernière modification le : Mercredi 13 Mai 2009, 14:03:25 | |
