Global wellposedness of hedgehog solutions for the (3+1) Skyrme model

Abstract

We consider the dynamics of hedgehog solutions in the $(3+1)$-dimensional Skyrme model which is an energy-supercritical problem. We introduce a new strategy to prove global wellposedness for arbitrarily large initial data.

Citation: Dong Li. "Global well-posedness of hedgehog solutions for the (3+1) Skyrme model." Duke Math. J. 170 (7) 1377--1418 (2021)

References in corpus (2)

• Regular hyperbolicity, dominant energy condition and causality for Lagrangian theory of maps
• Nonconcentration of energy for a semilinear Skyrme model

Cited by in corpus (1)

• Decay for Skyrme wave maps