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On the Navier boundary condition for viscous fluids in rough domains

 

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Opened Access On the Navier boundary condition for viscous fluids in rough domains
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Author: Casado Díaz, Juan
Luna Laynez, Manuel
Suárez Grau, Francisco Javier
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2012-04
Published in: Boletín de la Sociedad Española de Matemática Aplicada, 58, 5-24.
Document type: Article
Abstract: In this paper we review some recent results concerning the study of the asymptotic behavior of viscous fluids in rough domains assuming Navier boundary conditions on the rough boundary. Our main interest is to study the relation between both the adherence and the Navier boundary conditions in the case of a boundary with weak rugosities. We show that the roughness acts on the fluid as a friction term. In particular, if the roughness is sufficiently strong, Navier condition implies adherence condition. This generalizes previous results of other authors.
Cite: Casado Díaz, J., Luna Laynez, M. y Suárez Grau, F.J. (2012). On the Navier condition for viscous fluids in rough domains. Boletín de la Sociedad Española de Matemática Aplicada, 58, 5-24.
Size: 222.5Kb
Format: PDF

URI: http://hdl.handle.net/11441/41507

DOI: 10.1007/BF03322603

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