Colloquio De Giorgi - Flexibility of Two-Dimensional Euler Flows - 18 ottobre 2024
Maria Colombo, EPFL Lausanne - Ennio De Giorgi Prize 2023
For the two dimensional Euler equations, a classical result by Yudovich states that solutions are unique in the class of bounded vorticity; it is a celebrated open problem whether this uniqueness result can be extended to the class of Lp-vorticities. In recent years, many contributions lead to signifi cant progress: just to mention a few, there were results based on convex integration, on instability in self-similar variables, the study of certain point vortices, numerical evidences. The talk will provide an overview of these developments and highlight new results obtained thanks to a new version of the convex integration method.
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