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| HAL: hal-00373579, version 1 |
| DOI: 10.1512/iumj.2008.57.3319 |
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| Indiana University Mathematics Journal 57, 4 (2008) 1959-1976 |
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| Spectral stability implies nonlinear stability for incompressible boundary layers |
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| François Gallaire 1Frédéric Rousset 1, 2 |
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| (2008) |
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| We prove the nonlinear stability of boundary layer profiles of the incompressible Navier-Stokes equation under a spectral assumption on the linearized operator. The main result applies for example to the classical Blasius layer |
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| 1: | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS] |
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| 2: | 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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| Subject | : | Mathematics/Analysis of PDEs |
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| nonlinear stability |
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| hal-00373579, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00373579 | |
| oai:hal.archives-ouvertes.fr:hal-00373579 | |
| From: Dominique Hervé | |
| Submitted on: Monday, 6 April 2009 15:05:07 | |
| Updated on: Friday, 19 February 2010 14:25:10 | |
