On the Navier boundary condition for viscous fluids in rough domains

• Autores: Juan Casado Díaz , Manuel Luna Laynez , Francisco Javier Suárez Grau
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Nº. 58, 2012, págs. 5-24
• Idioma: inglés
• DOI: 10.1007/bf03322603
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• Resumen

  • 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.