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

Dan Andrei Geba, Daniel Da Silva

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2105-2115
Number of pages11
JournalProceedings of the American Mathematical Society
Volume141
Issue number6
DOIs
Publication statusPublished - 2013
Externally publishedYes

Fingerprint

Method of multipliers
Equivariant Map
Regularity Theory
Nuclear physics
Global Regularity
Regularity of Solutions
Equivariant
Open Problems
Regularity
Physics
Energy
Model

Keywords

  • Global existence
  • Nonconcentration of energy
  • Skyrme model

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On the regularity of the 2 + 1 dimensional equivariant Skyrme model. / Geba, Dan Andrei; Da Silva, Daniel.

In: Proceedings of the American Mathematical Society, Vol. 141, No. 6, 2013, p. 2105-2115.

Research output: Contribution to journalArticle

Geba, Dan Andrei ; Da Silva, Daniel. / On the regularity of the 2 + 1 dimensional equivariant Skyrme model. In: Proceedings of the American Mathematical Society. 2013 ; Vol. 141, No. 6. pp. 2105-2115.
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