Abstract : The steady state system of isothermal Navier-Stokes equations is considered in two dimensional domain including an obstacle. The shape optimisation problem of drag minimisation with respect to the admissible shape of the obstacle is defined. The generalized solutions for the Navier-Stokes equations are introduced. The existence of an optimal shape is proved in the class of admissible domains. In general the solution to the problem under consideration is not unique.
https://hal.inria.fr/inria-00077043
Contributeur : Rapport de Recherche Inria
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Soumis le : lundi 29 mai 2006 - 11:58:15
Dernière modification le : jeudi 3 mai 2018 - 13:32:55
Document(s) archivé(s) le : lundi 5 avril 2010 - 21:34:26
P. I. Plotnikov, Jan Sokolowski. On shape optimization for compressible isothermal Navier-Stokes equations. [Research Report] RR-5156, INRIA. 2004, pp.48. 〈inria-00077043〉
