Seminar on PDEs and Fluid Mechanics
Ideal MHD below the classical well-posedness threshold
Speaker: Matteo Giardi (Leipzig University)Date: Tuesday, 22 September 2026 - 12:00Place: Aula Naranja, ICMAT
Abstract:
We discuss local well-posedness in \(H^s\) of solutions for the ideal incompressible magnetohydrodynamics system posed on \([0,T]\times\mathbb{R}^d\). Building on a recent result, we show how the wave--null structure induced by a non-vanishing (constant) initial magnetic field can be leveraged to improve on the classical Lisphitz threshold \(s>d/2+1\) for the velocity initial data.
