Please note this event occured in the past.
November 06, 2024 1:15 pm - 2:05 pm ET
Analysis Seminar
LGRT 1681

Michael McNulty,
Michigan State University

Stable blowup for the higher-dimensional Skyrme model

Stable blowup for the higher-dimensional Skyrme model

The Skyrme model is a geometric field theory and a quasilinear modification of the nonlinear sigma model. 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.