Global well-posedness and scattering for Skyrme wave maps

TL;DR

This paper proves that certain wave maps related to the Skyrme and Adkins-Nappi models exist globally and scatter, demonstrating well-posedness in critical Sobolev-Besov spaces.

Contribution

It establishes global well-posedness and scattering results for equivariant Skyrme and Adkins-Nappi wave maps in critical function spaces.

Findings

Global existence of solutions

Scattering in critical Sobolev-Besov spaces

Applicability to classical Skyrme and Adkins-Nappi models

Abstract

We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces.