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Global well-posedness and scattering for Skyrme wave maps
Wave maps Skyrme model Adkins-Nappi model global existence scattering theory
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2011/7/28
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.
On the Global Regularity of Wave Maps in the Critical Sobolev Norm
Wave Maps Critical Sobolev Norm
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2014/4/3
This paper, in collaboration with I. Rodnianski, is an extension of the recent higher dimensional critical regularity result of T. Tao to general bounded parallelizable Riemannian target manifolds.