Stable Blowup for the Higher-Dimensional Skyrme Model

Explore a fascinating lecture on the higher-dimensional Skyrme model and its stable blowup mechanism. Delve into the intricacies of this geometric field theory, which modifies the nonlinear sigma model. Learn how the Skyrme model prevents self-similar collapse and ensures global existence for large data in 3+1 dimensions. Discover recent findings that reveal a different outcome in 5+1 dimensions, where Skyrme's modification leads to finite-time blowup at the self-similar rate. Gain insights into the mathematical complexities of nonlinear waves and relativity as part of the Thematic Programme held at the Erwin Schrödinger International Institute for Mathematics and Physics.

Michael McNulty - Stable blowup for the higher-dimensional Skyrme model