On the regularity of the 2 + 1 dimensional equivariant Skyrme model

Dan Andrei Geba; Daniel Da Silva

doi:10.1090/S0002-9939-2013-11865-4

On the regularity of the 2 + 1 dimensional equivariant Skyrme model

Dan Andrei Geba, Daniel Da Silva

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study 2 + 1 dimensional equivariant Skyrme maps, for which we prove, using the method of multipliers, that the energy does not concentrate. This is one of the important steps towards a global regularity theory.

Original language	English
Pages (from-to)	2105-2115
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-2013-11865-4
Publication status	Published - 2013
Externally published	Yes

Keywords

Global existence
Nonconcentration of energy
Skyrme model

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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