Shape optimization, PDE, and Nonlinear Analysis

Liste des Contributions

9. TBA

Benjamin Lledos

07/10/2026 14:00

2. About the maximization of the gradient of the torsion function

Ilias Ftouhi

07/10/2026 15:00

In this talk, we address the problem of maximizing the supremum norm of the gradient of the torsion function over planar convex domains with fixed measure (or perimeter). We prove that an optimal shape exists, its boundary possesses $C^1$ regularity, and it features at least one straight segment. The proofs leverage probabilistic methods along with a novel boundary Harnack principle for the...

3. Sharp and quantitative bounds for torsional rigidity with Dirichlet and Robin boundary conditions

Alba Lia Masiello

07/10/2026 16:30

Torsional rigidity is a classical quantity associated with the Poisson problem with Dirichlet boundary conditions and is closely related to the geometry of the underlying domain. In this talk we consider open, bounded and convex sets in R^n and present sharp geometric inequalities relating torsional rigidity to basic geometric quantities such as the perimeter, the measure of the set, and the...

4. TBA

Blanche Buet

08/10/2026 09:00

5. TBA

Anastasia Molchanova

08/10/2026 10:30

6. TBA

Simona Rota-Nodari

08/10/2026 11:30

11. TBA

Mathis Dauchy

08/10/2026 14:00

12. TBA

Giacomo Vizzari

08/10/2026 14:30

13. TBA

Théo Lavier

08/10/2026 15:00

14. TBA

Marc Dambrine

08/10/2026 16:00

1. TBA

Pierre Bousquet

09/10/2026 09:00

10. TBA

Léa Mazzouza

09/10/2026 10:30

8. Concentration properties for the Aviles-Giga energy

Xavier Lamy

09/10/2026 11:10

The Aviles-Giga energy is a phase transition model related to liquid crystals, micromagnetics and elasticity. Sharp interface limits of bounded energy are weak solutions of the 2D eikonal equation: unit vector fields $m$ with zero divergence (in the sense of distributions). Partial information about the limit energy cost of a given solution $m$ is encoded in a family of signed measures called...