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作者:

Zhong, Penghong (Zhong, Penghong.) | Wang, Shu (Wang, Shu.) (学者:王术) | Guo, Boling (Guo, Boling.)

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EI Scopus SCIE

摘要:

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.

关键词:

Anti-ferromagnetic equation Asymptotic analysis Blowup rate

作者机构:

  • [ 1 ] [Zhong, Penghong]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Shu]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Guo, Boling]Inst Appl Phys & Computat Math, Ctr Nonlinear Studies, Beijing 100088, Peoples R China

通讯作者信息:

  • [Zhong, Penghong]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

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来源 :

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

ISSN: 1007-5704

年份: 2013

期: 8

卷: 18

页码: 2222-2239

3 . 9 0 0

JCR@2022

ESI学科: PHYSICS;

ESI高被引阀值:162

JCR分区:1

中科院分区:1

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WoS核心集被引频次: 0

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