Dirichlet boundary value problems of Landau-Lifshitz equation

被引:12
|
作者
Chen, YM [1 ]
机构
[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA
基金
美国国家科学基金会;
关键词
D O I
10.1080/03605300008821509
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is proved that any weak solution u is an element of H-1(M x (0,T)) of two dimensional Landau-Lifshitz equation with finite energy and having u\(t=o) is an element of H-1(M,S-2) u\(partial derivative M) is an element of H-3/2(partial derivative M,S-2) is unique and smooth with the exception of at most finitely many points.
引用
收藏
页码:101 / 124
页数:24
相关论文
共 50 条
  • [41] Finite difference scheme for the Landau-Lifshitz equation
    Fuwa, Atsushi
    Ishiwata, Tetsuya
    Tsutsumi, Masayoshi
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2012, 29 (01) : 83 - 110
  • [42] Global regular solutions for Landau-Lifshitz equation
    Guo B.
    Han Y.
    Frontiers of Mathematics in China, 2006, 1 (4) : 538 - 568
  • [43] Multicomponent generalization of the hierarchy of the Landau-Lifshitz equation
    I. Z. Golubchik
    V. V. Sokolov
    Theoretical and Mathematical Physics, 2000, 124 : 909 - 917
  • [44] The Landau-Lifshitz equation by semidirect product reduction
    Patrick, GW
    LETTERS IN MATHEMATICAL PHYSICS, 1999, 50 (03) : 177 - 188
  • [45] Identification of the damping coefficient in Landau-Lifshitz equation
    Bertotti, G
    Mayergoyz, ID
    Serpico, C
    PHYSICA B, 2001, 306 (1-4): : 102 - 105
  • [46] On Landau-Lifshitz equation in dimensions at most four
    Wang, Changyou
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2006, 55 (05) : 1615 - 1644
  • [47] Finite difference method for the Landau-Lifshitz equation
    Nam, Won Chang
    Cho, Min Hyung
    Lee, YoungPak
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2008, 53 (03) : 1626 - 1629
  • [48] Initial-boundary value problem for the Landau-Lifshitz system with applied field
    Guo, BL
    Ding, SJ
    Fang, HZ
    PROCEEDINGS OF THE CONFERENCE ON NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1998, : 41 - 48
  • [49] Robin boundary value problem for one-dimensional Landau-Lifshitz equations
    Ding, Shi Jin
    Huang, Jin Rui
    Liu, Xiao E.
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (10) : 2033 - 2066
  • [50] Initial-boundary value problem for the Landau-Lifshitz system (II) - Uniqueness
    Guo, BL
    Ding, SJ
    PROGRESS IN NATURAL SCIENCE, 1998, 8 (02) : 147 - 151