GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN
GLOBAL EXISTENCE OF THE SOLUTION FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN作者机构:Institute of Applied Physics and Computational Mathematics P.O.Box 8009 Beijing 100088 China
出 版 物:《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))
年 卷 期:1997年第17卷第4期
页 面:429-436页
核心收录:
学科分类:07[理学] 070201[理学-理论物理] 0702[理学-物理学]
主 题:existence and uniqueness local solution global solution Landau-Lifshitz equation
摘 要:In this paper, we establish the global existence of the solution for the Landau-Lifshitz equation of the ferromagnetic spin chain. By Galerkin method, we first show the existence of the local solution for this equation, and then by a priori estimates method, we extend the local solution to a global solution.