Abstract:
In 1962, Yudovich established the well-posedness of the two-dimensional incompressible Euler equations within the class of solutions with bounded vorticity. Since then, a central unresolved problem has been the question of uniqueness within the broader class of solutions with L^p-vorticities. Recent years have witnessed significant progress in this investigation. In my colloquium, I aim to provide an overview of these developments and highlight recent results obtained thanks to the convex integration method.
2D Euler Flows: From Yudovich to Contemporary Advances
18.06.2025 15:15 - 16:45
Organiser:
D. Semola, R.I. Bot
Location: