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 |
|---|---|
| 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 |
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Keywords
- Global existence
- Nonconcentration of energy
- Skyrme model
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
On the regularity of the 2 + 1 dimensional equivariant Skyrme model. / Geba, Dan Andrei; Da Silva, Daniel.
In: Proceedings of the American Mathematical Society, Vol. 141, No. 6, 2013, p. 2105-2115.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the regularity of the 2 + 1 dimensional equivariant Skyrme model
AU - Geba, Dan Andrei
AU - Da Silva, Daniel
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
KW - Global existence
KW - Nonconcentration of energy
KW - Skyrme model
UR - http://www.scopus.com/inward/record.url?scp=84875425305&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84875425305&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-2013-11865-4
DO - 10.1090/S0002-9939-2013-11865-4
M3 - Article
VL - 141
SP - 2105
EP - 2115
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 6
ER -