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Séminaire de EDP - Physique Mathématique

A free discontinuity approach to optimal profiles in Stokes flows

Mickaël Nahon

Salle de Conférences

le 08 novembre 2022 à 11:00

We consider an incompressible Stokes fluid contained in a box BB that flows around an obstacle KBK \subset B with a Navier boundary condition on K\partial K. I will present existence and partial regularity results for the minimization of the drag of KK among all profiles with certain constraints on the measure and perimeter KK, based on techniques that were developed for Griffith's fracture model in brittle materials. This is a joint work with Dorin Bucur, Antonin Chambolle and Alessandro Giacomini.