带有Gilbert阻尼项的Landau-Lifshitz铁磁链方程解的最佳衰减率  

Optimal rate of decay for solutions for the Landau-Lifshitz equation with Gilbert damping for ferromagnetism

作　　者：罗兰[1] 

机构地区：[1]广州大学数学与信息科学学院,数学与交叉科学广东普通高校重点实验室,广东广州510006

出　　处：《纯粹数学与应用数学》2012年第3期313-328,共16页Pure and Applied Mathematics

基　　金：国家自然科学基金(11126021)

摘　　要：主要研究带有Gilbert阻尼项的Landau-Lifshitz铁磁链方程的柯西问题.当初值的一阶导数适当小时,基于加权能量估计,证明了强解的整体存在性并且给出了解的最优的L2和L∞衰减估计.In this paper we study the Cauchy problem for the important Landau-Lifshitz equation with Gilbert damping for ferromagnetism. We establish the global existence of strong solution and at the same time we give some decay estimates of solutions which are indeed optimal. Our analysis is based on the a priori weighted energy estimate methods. And only the smallness of the first derivatives of the initial data is assumed.

关 键 词：LANDAU-LIFSHITZ方程 Gilbert阻尼 铁磁性 整体适定性 衰减估计 

分 类 号：O29[理学—应用数学]