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| HAL: hal-00707831, version 1 |
| arXiv: 1202.0657 |
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| Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations |
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| Nader MasmoudiFrédéric Rousset 1 |
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| (2012-02-03) |
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| We study the inviscid limit of the free boundary Navier-Stokes equations. We prove the existence of solutions on a uniform time interval by using a suitable functional framework based on Sobolev conormal spaces. This allows us to use a strong compactness argument to justify the inviscid limit. Our approach does not rely on the justification of asymptotic expansions. In particular, we get a new existence result for the Euler equations with free surface from the one for Navier-Stokes. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Equations aux dérivées partielles |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/1202.0657 |
| hal-00707831, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00707831 | |
| oai:hal.archives-ouvertes.fr:hal-00707831 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Wednesday, 13 June 2012 15:44:44 | |
| Updated on: Wednesday, 13 June 2012 15:44:44 | |
