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Free discontinuity and free boundary problems with Robin conditions

  • Mickaël Nahon (Université Savoie Mont Blanc)
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Abstract

In this talk I will present my recent works on free discontinuity and free boundary problems involving Robin or other similar boundary conditions. I will start with a scalar case that involves both free boundary and free discontinuity problems with obstacle constraints, whose motivation was originally to establish a quantitative version of the Saint-Venant inequality (dealing with the maximization of torsional rigidity among sets of fixed area), as well as a similar problem involved in thermal insulation. Then I will show some recent results on the regularity of a free boundary problem using an epiperimetric inequality method. Finally, I will discuss current works on vectorial free discontinuity problems in fluids mechanics, namely a theoretical approach to the drag minimization of an object immersed in a creeping flow with Navier conditions.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher
  • May 21, 2024 tba with Immanuel Zachhuber