Stable blowup for the higher-dimensional Skyrme model

Michael McNulty (Michigan State U, East Lansing)

May 28. 2024, 11:00 — 12:00

The Skyrme model is a geometric field theory and a quasilinear modification of the nonlinear sigma model, i.e., wave maps into the sphere. In 3+1 dimensions, it is known that this modification prevents self-similar collapse and that global existence holds for large data. I will discuss recent work which demonstrates that this is not the case in 5+1 dimensions. In particular, Skyrme’s modification provides a stable mechanism for finite-time blowup at the self-similar rate.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Nonlinear Waves and Relativity (Thematic Programme)
Organizer(s):
Roland Donninger (U of Vienna)
David Fajman (U of Vienna)
Birgit Schörkhuber (U of Innsbruck)