Dynamical shape gradient for the Navier–Stokes system |
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| Authors: | Raja Dziri Marwan Moubachir Jean-Paul Zolésio |
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| Institution: | 1. LAMSIN/ENIT, faculté des sciences, département de mathématiques, 1060 Tunis, Tunisia;2. Laboratoire central des ponts et chaussées, 58, boulevard Lefebvre, 75732 Paris cedex 15, France;3. INRIA, projet OPALE, BP 93, 2004, route des Lucioles, 06902 Sophia Antipolis, France |
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| Abstract: | This Note deals with the sensitivity analysis of a newtonian incompressible fluid driven by the Navier–Stokes equations with respect to the dynamic of the fluid domain boundary. The structure of the gradient with respect to the velocity of the domain for a given cost function is established. This result is obtained using new shape derivation tools for Eulerian functionals and the Min–Max derivation principle. To cite this article: R. Dziri et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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