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Abstract:
We consider the 2 + 1 dimensional space-time isotropic anti-ferromagnetic equation (IAF for short) to the 2-sphere for equivariant data of homotopy number N >= 1. Using the method of matched asymptotic expansions, we present an analysis of the asymptotic behavior of singularities arising in this special class of solutions. Specifically, a sharp description of the corresponding blowup rate and the stability are investigated in settings with certain symmetries. We also find out the blowup behavior of two different IAFs are very different. In the end, the blowup results are verified by numerical experiments. (C) 2012 Elsevier B. V. All rights reserved.
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Source :
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN: 1007-5704
Year: 2013
Issue: 8
Volume: 18
Page: 2222-2239
3 . 9 0 0
JCR@2022
ESI Discipline: PHYSICS;
JCR Journal Grade:1
CAS Journal Grade:1
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
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