On the regularity of the 2+1 dimensional Skyrme model

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

2011-06-20

arxiv.org/abs/1106.3974v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

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.

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