Open AccessOn the regularity of the 2+1 dimensional equivariant Skyrme model
Author(s) -
Dan-Andrei Geba,
Daniel Oliveira da Silva
Publication year - 2013
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2013-11865-4
Subject(s) - equivariant map , annotation , algorithm , semantics (computer science) , computer science , artificial intelligence , mathematics , pure mathematics , programming language
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 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.