Artículo
The differentiability of the drag with respect to the variations of a Lipschitz domain in a Navier-Stokes flow
Autor/es | Bello Jiménez, Juan Antonio
Fernández Cara, Enrique Lemoine, Jérôme Simon, Jacques |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 1997 |
Fecha de depósito | 2016-05-20 |
Publicado en |
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Resumen | This paper is concerned with the computation of the drag T associated with a body traveling at uniform velocity in a fluid governed by the stationary Navier–Stokes equations. It is assumed that the fluid fills a domain of ... This paper is concerned with the computation of the drag T associated with a body traveling at uniform velocity in a fluid governed by the stationary Navier–Stokes equations. It is assumed that the fluid fills a domain of the form Ω+u, where Ω ⊂ R3 is a reference domain and u is a displacement field. We assume only that Ω is a Lipschitz domain and that u is Lipschitz-continuous. We prove that, at least when the velocity of the body is sufficiently small, u 7→ T(Ω + u) is a C∞ mapping (in a ball centered at 0). We also compute the derivative at 0. |
Agencias financiadoras | Dirección General de Investigación Científica y Técnica (DGICYT). España |
Cita | Bello Jiménez, J.A., Fernández Cara, E., Lemoine, J. y Simon, J. (1997). The differentiability of the drag with respect to the variations of a Lipschitz domain in a Navier-Stokes flow. SIAM Journal on Control and Optimization, 35 (2), 626-640. |
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