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Steady Euler flows via a topology-preserving convex integration scheme

by Prof. Alberto Enciso

This is my image.
This is my image.
This is my image.

14:30-15:30 Monday, 7 April 2025
Auditorium, Rectorate



Abstract

In this talk I will review some results concerning the existence of stationary solutions to the 3D Euler equations that are topologically equivalent, in some sense, to a given smooth divergence-free field. The rule of thumb is that, for “most” fields, there does not exist a $C^1$ topologically equivalent steady Euler flow, but there aways exists a (weakly) topologically equivalent steady Euler flow of class $C^\alpha$. The talk is based on joint work with Javier Peñafiel-Tomás and Daniel Peralta-Salas.