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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： SCIE、EI

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.