The HADES seminar on Tuesday, February 16 will be given by Michael McNulty via Zoom from 3:40 to 5 pm.

Speaker: Michael McNulty (UC Riverside)

Abstract: The strong-field Skyrme model is a particular limiting case of the Skyrme model, a geometric field theory from nuclear physics and a quasilinear modification of the nonlinear sigma model (wave maps). Singularity formation in these models is known to serve as great toy models for physically realistic situations like gravitational collapse in Einstein’s equation of general relativity. This limit restores the scale invariance of the equation of motion allowing for the existence of self-similar solutions, i.e., singularity formation. In this talk, we discuss work in progress toward establishing the nonlinear stability of an explicitly known self-similar solution to the equation of motion for the strong-field Skyrme model. In addition, we discuss the current strategy used for studying nonlinear stability of self-similar blowup in the broader context of energy supercritical wave equations and the new challenges one faces when applying this to the strong-field Skyrme model.