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On the regularity of the 2+1 dimensional Skyrme model

Analysis of PDEs 2011-06-21 v1 High Energy Physics - Theory Mathematical Physics math.MP

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 crucial steps towards a global regularity theory.

Keywords

Cite

@article{arxiv.1106.3974,
  title  = {On the regularity of the 2+1 dimensional Skyrme model},
  author = {Dan-Andrei Geba and Daniel da Silva},
  journal= {arXiv preprint arXiv:1106.3974},
  year   = {2011}
}

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10 pages