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发布时间：2019-03-11

论文类型：期刊论文

发表时间：2017-01-01

发表刊物：SIAM JOURNAL ON MATHEMATICAL ANALYSIS

收录刊物：EI、SCIE

卷号：49

期号：6

页面范围：5134-5157

ISSN号：0036-1410

关键字：Landau-Lifshitzequation; Oseen-Frankenergy; globalweaksolution

摘要：We investigate the general Oseen--Frank energy for the Landau--Lifshitz equation of the ferromagnetic spin chain from R-2 to the unit sphere S-2. Our main results are global existence and uniqueness of weak solutions for large energy initial data. Moreover, the number of singular points for weak solutions is proved to be finite.