摘要
考虑具Ｇｉｌｂｅｒｔ耗散项的多变量铁磁链方程组的初过值问题，利用Ｇａｌｅｒｋｉｎ方法和紧致性原理证明了该问题整体强解的存在性，并得到铁磁链方程组初边值问题整体弱解的存在性。
In this paper we consider the initial boundary value problem for the system of ferromagnetic chain of several variables with Gilbert damping term. Using the Galerkin method and the compactness theory, the existence of a global strong solution to the system was proved.
关键词
多变量
铁磁链方程组
初边值
Gilbert damping term
several variables
Galerkin method
Global strong solution
