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Local strong solution for the incompressible Korteweg model


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Opened Access Local strong solution for the incompressible Korteweg model

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Título alternativo: Solution local fort pour le modèle de Korteweg incompressible
Author: Bresch, Didier
Guillén González, Francisco Manuel
Lemoine, Jérôme
Rodríguez Bellido, María Ángeles
Sy, Mamadou
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2006-02
Published in: Comptes rendus mathématique, 342(3), 169-174
Document type: Article
Abstract: We consider a Navier-Stokes type system with a Korteweg stress tensor, coupled with a concentration equation without diffusion. We give a result concerning the local in time existence (and uniqueness) of strong solution for any data (and the global in time existence defined in a interval (0, T) for T < +∞ fixed if data are small enough), in the case of a bounded domain Ω ⊂ R3.
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DOI: 10.1016/j.crma.2005.12.003

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