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ON THE REGULARITY OF THE 2+1 DIMENSIONAL EQUIVARIANT SKYRME MODEL
被引:2
|作者:
Geba, Dan-Andrei
[1
]
da Silva, Daniel
[1
]
机构:
[1] Univ Rochester, Dept Math, Rochester, NY 14627 USA
基金:
美国国家科学基金会;
关键词:
Skyrme model;
global existence;
nonconcentration of energy;
WAVE MAPS;
FIELD THEORY;
SIGMA-MODEL;
BLOW-UP;
SINGULARITIES;
POSEDNESS;
D O I:
10.1090/S0002-9939-2013-11865-4
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
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.
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页码:2105 / 2115
页数:11
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