Journée EDP du LAMA 2026

Liste des Contributions

3. Categorical transfer between linear operators

Franck Sueur (DMATH, University of Luxembourg)

19/03/2026 10:00

In this talk, I will present an ongoing work whose purpose is to develop a general new method to transfer properties of a linear operator to another. The initial idea was to transfer a Runge approximation property from the Laplace operator to the Stokes operator, by proceeding in several stages, transferring information back and forth by the means of $3$ identities, which involve auxiliary...

4. Resonances as a Computational Tool

Katharina Schratz

19/03/2026 11:15

A large toolbox of numerical schemes for dispersive equations has been established, based on different discretization techniques such as discretizing the variation-of-constants formula (e.g., exponential integrators) or splitting the full equation into a series of simpler subproblems (e.g., splitting methods).
In many situations these classical schemes allow a precise and efficient...

5. On a conjecture of E. De Giorgi for Mumford–Shah minimizers

Antoine Lemenant

19/03/2026 13:45

In a 1991 paper, E. De Giorgi formulated a series of nine conjectures concerning the now well-known Mumford–Shah functional, some of which remain open to this day. Among them, Conjecture 2 states that, in dimension N, the number of possible limit values of a minimizer as approaching its singular set should be less than or equal to N+1. In this talk, I will describe how to give a positive...

6. Unbounded solutions to the two dimensional Euler equations

Herbert Koch

19/03/2026 15:00

I report on joint work with D. Cobb. We consider unique global in time solutions to the two dimensional Euler equations with initial data with sublinear growth and bounded vorticity. An easy check shows that the Leray projection to divergence free vector fields cannot be defined in this setting. Instead we construct unique solutions for which the velocity at x=0 vanishes for all times. This...