Artículo
Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary
Autor/es | Casado Díaz, Juan
Luna Laynez, Manuel Suárez Grau, Francisco Javier |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2013 |
Fecha de depósito | 2016-05-23 |
Publicado en |
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Resumen | We study the asymptotic behavior of the solutions of the Navier–Stokes system in a thin domain Ωε of thickness ε satisfying the Navier boundary condition on a periodic rough set Γε ⊂ ∂Ωε of period rε and amplitude δε, with ... We study the asymptotic behavior of the solutions of the Navier–Stokes system in a thin domain Ωε of thickness ε satisfying the Navier boundary condition on a periodic rough set Γε ⊂ ∂Ωε of period rε and amplitude δε, with δε rε ε. We prove that the limit behavior as ε goes to zero depends on the limit λ of δεε 1 2 /r 3 2 ε . Namely, if λ = +∞, the roughness is so strong that the fluid behaves as if we had imposed the adherence condition on Γε. If λ = 0, the roughness is too weak and the fluid behaves as if Γε were a plane. Finally, if λ ∈ (0, +∞), the roughness is strong enough to make a new friction term appear in the limit. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2011-
24457
FQM309 |
Cita | Casado Díaz, J., Luna Laynez, M. y Suárez Grau, F.J. (2013). Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary. SIAM journal on mathematical analysis, 45 (3), 1641-1674. |
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