Asymptotic Stability of a Large-Data Wave Map After Blowup

Explore the asymptotic stability of energy-supercritical co-rotational wave maps through this 29-minute conference lecture from the Workshop on "Hyperboloidal Foliations and their Application" at the Erwin Schrödinger International Institute for Mathematics and Physics. Examine a hyperboloidal initial value problem involving large initial data and discover how nonlinear asymptotic stability is established for explicitly known self-similar global solutions in odd supercritical dimensions under suitable perturbations. Learn about the proof methodology based on translation to a related blowup problem via Kelvin inversion, and gain insights into the implications of explicit solutions regarding long-term dynamics in scattering and blowup scenarios. Delve into cutting-edge research in mathematical physics that bridges hyperboloidal methods with wave map stability theory, presented as part of ongoing collaborative work in the field.