二维Landau-Lifshitz-Darwin耦合模型带小初值的整体光滑解  

Global Smooth Solutions for the 2-Dimensional Landau-Lifshitz-Darwin Coupled Model with Small Initial Data

作　　者：黄丙远[1] 赵坤[1] 

机构地区：[1]韩山师范学院基础教育师资系,广东潮州521041

出　　处：《华南师范大学学报（自然科学版）》2012年第2期35-39,45,共6页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11071086)

摘　　要：利用Galerkin方法得到了周期边值问题的局部光滑解,然后在小初值的条件下对光滑解做关于时间的整体先验估计,得到了二维Landau-Lifshitz-Darwin方程组在小初值条件下的整体光滑解.The local existence of smooth solution with the periodic initial value condition is firstly obtained by usingGalerkin method. Based on it, the global existence of the smooth solution for the 2 - dimensional Landau - Lifshitz-Darwin coupled system with small initial data is further derived by making a priori estimate globally in time.

关 键 词：LANDAU-LIFSHITZ方程 Darwin模型 先验估计 局部光滑解 整体光滑解 

分 类 号：O175.4[理学—数学]