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 |
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Pages (from-to) | 2105-2115 |
Number of pages | 11 |
Journal | Proceedings of the American Mathematical Society |
Volume | 141 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2013 |
Externally published | Yes |
Keywords
- Global existence
- Nonconcentration of energy
- Skyrme model
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics