耦合复Ginzburg-Landau方程组的拉回吸引子  

Pullback attractor for coupled complex Ginzburg-Landau Equations

作　　者：陈兆蕙[1] 吴昌健 唐跃龙[2] 张星红 

机构地区：[1]华南农业大学珠江学院,广东广州510900 [2]湖南科技学院数学与计算科学系,湖南永州425199 [3]北京理工大学自动化学院,北京100081

出　　处：《湖南文理学院学报（自然科学版）》2017年第4期4-7,11,共5页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：广东省普通高校青年创新人才项目(2016KQNCX229);广东省"创新强项工程"专项建设项目;华农珠江学院经费资助

摘　　要：以耦合复金兹堡–朗道(Ginzburg-Landau)方程系统为模型,研究了在周期边界条件下和初始条件下它的拉回吸引子的存在性。主要采用能量方程方法来进行证明:首先证明在W中存在一个闭过程且有界,从而证明该闭过程存在一个拉回吸收集;其次,当满足初值有界条件时,证明该闭过程满足拉回条件C,因此证实了该Ginzburg-Landau方程组存在拉回吸引子。The coupled complex Ginzburg Landau equation system for model to study the existence of pullback attractor under periodic boundary conditions and initial conditions. The method of energy equations is mainly used in this paper. First, when the closed process exists in W, and the closed process is bounded, the existence of the pull-back absorbing set is obtained. Second, when the initial and boundary condition are satisfied, the pull-back condition C is used to prove the existence of pullback attractor for the coupled Ginzburg-Landau equations.

关 键 词：耦合Ginzburg-Landau方程组 拉回条件C 拉回吸引子 

分 类 号：O175.29[理学—数学]