带有时滞项的复Ginzburg-Landau方程的拉回吸引子  

Pullback Attractors for the Complex Ginzburg-Landau Equations with Delays

作　　者：朱凯旋[1] 谢永钦 周峰[3] 邓习军 Zhu Kaixuan;Xie Yongqin;Zhou Feng;Deng Xijun(Hunan Province Cooperative Innovation Center for the Construction and Development of Dongting Lake Ecological Economic Zone,College of Mathematics and Physics,Hunan University of Arts and Science,Hunan Changde 415000;School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410114;College of Science,China University of Petroleum(East China),Shandong Qingdao 266580)

机构地区：[1]洞庭湖生态经济区建设与发展湖南省协同创新中心&湖南文理学院数理学院,湖南常德415000 [2]长沙理工大学数学与统计学院,长沙410114 [3]中国石油大学(华东),山东青岛266580

出　　处：《数学物理学报（A辑）》2020年第5期1341-1353,共13页Acta Mathematica Scientia

基　　金：国家自然科学基金(11601522);中央高校基础研究基金(17CX02036A);湖南省自然科学基金基金(2018JJ2416,2018JJ2272);湖南文理学院博士科研启动基金(16BSQD04,16BSQD13)。

摘　　要：该文考虑带有时滞项的复Ginzburg-Landau方程解的适定性和拉回吸引子的存在性,其中非线性项满足任意p−1(p>2)次多项式增长.利用收缩函数方法验证解过程{U(t,τ)}t≥τ的紧性,得到CL^2(Ω)中拉回吸引子的存在性.In this paper,we consider the complex Ginzburg-Landau equations with hereditary effects and the nonlinear term satisfying the polynomial growth of arbitrary p−1(p>2)order.We analyze the well-posedness of solutions and prove the existence of the pullback attractors in CL^2(Ω)by applying the contractive functions method.

关 键 词：复GINZBURG-LANDAU方程 时滞 拉回吸引子 

分 类 号：O193[理学—数学]