3 papers
math.OC2017
The minimal resistance problem in a class of non convex bodies
Edoardo Mainini, Manuel Monteverde, Edouard Oudet +1
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave profiles. We also give the corresponding result for one-dimensional profiles. M…
math.OC2016
Partitions of Minimal Length on Manifolds
Beniamin Bogosel, Edouard Oudet
We study partitions on three dimensional manifolds which minimize the total geodesic perimeter. We propose a relaxed framework based on a -convergence result and we show some nu…
math.OC2015
A free boundary problem arising in PDE optimization
Giuseppe Buttazzo, Edouard Oudet, Bozhidar Velichkov
A free boundary problem arising from the optimal reinforcement of a membrane or from the reduction of traffic congestion is considered; it is of the form $$\sup_{\int_Dθ\,dx=m}\ \i…