Exponential Attractors for the Generalized Ginzburg-Landau Equation 被引量：4

Exponential Attractors for the Generalized Ginzburg-Landau Equation

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摘要 In this paper,we establish the global fast dynamics for the derivative Ginzburg-Landau equation in two spatial dimensions.We show the squeezing property and the existence of fimte dimen- sional exponential attractors for this equation In this paper,we establish the global fast dynamics for the derivative Ginzburg-Landau equation in two spatial dimensions.We show the squeezing property and the existence of fimte dimen- sional exponential attractors for this equation

作者 Boling Guo Institute of Applied Physics and Computational Mathematics P.O.Box 8009,Beijing,100088,P.R.ChinaBixiang Wang Department of Mathematics,Brigham Young University,Provo,UT84602,USA

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2000年第3期515-526,共12页 数学学报（英文版）

基金 The author is supported by the Postdoctoral Foundation of China

关键词 Global attractor Exponential attractor SEMIGROUP Ginzburg-Landau equation Global attractor Exponential attractor Semigroup Ginzburg-Landau equation

分类号 O175 [理学—基础数学]

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参考文献9

1Zhenchao Cao,Boling Guo,Bixiang Wang.Global existence theory for the two-dimensional derivative Ginzburg-Landau equation[J].Chinese Science Bulletin,1998,43(5):393-395. 被引量：4
2郭柏灵,高洪俊.Finite-dimensional behavior for a generalized Ginzburg-Landau equation[J].Progress in Natural Science:Materials International,1995,5(5):89-100. 被引量：2
3Temam R.Infinite-Dimensional Dynamical Systems in Mechanics and Physics[].Journal of Applied Mathematics.1988
4Duan J,Holmes P.On the Cauchy problem of a generalized Ginzburg-Landau equation[].Nonlinear Analysis.1994
5Bartuccelli M,Constantin P,Doering C,et al.On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation[].Physica D Nonlinear Phenomena.1990
6Doering C R,Gibbon J D,Levermore C D.Weak and strong solutions of the complex Ginzburg-Landau equation[].Physica D Nonlinear Phenomena.1994
7Duan J,Holmes P,Titi E S.Global existence theory for a generalized Ginzburg-Landau equation[].Nonlinearity.1992
8A Eden,C Foias,B Nicolaenko,R Temam.Ensembles inertiels pour des equations d’evolution dissipatives[].Comptes Rendus de l Académie des Sciences.1990
9B Guo,B Wang.Finite dimensional behavior for the derivatiave Ginzburg-Landau equation in two spatial dimensions[].Physica D Nonlinear Phenomena.1995

共引文献4

1Cao Zhenchao.A CRITICAL VALUE FOR GLOBAL NONEXISTENCE OF SOLUTION OF A WAVE EQUATION[J].Journal of Partial Differential Equations,2005,18(3):263-266.
2Jing-na Li Xiao-feng Wang Zheng-an Yao.An Extension Landau-Lifshitz Model in Studying Soft Ferromagnetic Films[J].Acta Mathematicae Applicatae Sinica,2007,23(3):421-432.
3郭柏灵,井竹君,鲁百年.Slow time-periodic solutions of cubic-quintic Ginzburg-Landau equation (Ⅰ )——Equilibria problem[J].Progress in Natural Science:Materials International,1998,8(4):20-32. 被引量：1
4Yue CHENG,Dongsheng TANG.Unconditional and Optimal Pointwise Error Estimates of Finite Difference Methods for the Two-Dimensional Complex Ginzburg-Landau Equation[J].Journal of Mathematical Research with Applications,2024,44(2):248-268.

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1李嘉,李扬荣.线性算子对偶半群的弱~*生成元(英文)[J].西南师范大学学报（自然科学版）,2004,29(5):723-728. 被引量：12
2GUO BOLING(Center for Nonlineajr Studies,Institute of Applied Physics and Computational Mathematics, Beijing100088, China.).NONLINEAR　GALERKIN　METHODS　FOR　SOLVING　TWO　DIMENSIONAL　NEWTON－BOUSSINESQ　EQUATIONS[J].Chinese Annals of Mathematics,Series B,1995,16(3):379-390. 被引量：8
3戴正德,朱智伟.弱阻尼KdV方程的惯性分形集[J].应用数学和力学,1995,16(1):33-40. 被引量：14
4李嘉,李扬荣.序列Banach空间上的对偶半群(英文)[J].西南师范大学学报（自然科学版）,2005,30(5):776-781. 被引量：9
5黄青霞,李扬荣,曾雪萍.带有可加白噪音的Cahn-Hilliard方程的吸引子[J].西南大学学报（自然科学版）,2007,29(11):1-6. 被引量：2
6Shu Juan LU Qi Shao LU.Exponential Attractor of the 3D Derivative Ginzburg-Landau Equation[J].Acta Mathematica Sinica,English Series,2008,24(5):809-828. 被引量：4
7Yang Rong LI,Bo Ling GUO.Random Attractors of Boussinesq Equations with Multiplicative Noise[J].Acta Mathematica Sinica,English Series,2009,25(3):481-490. 被引量：10
8戴正德,蒋慕蓉.EXPONENTIAL ATTRACTORS OF THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN[J].Acta Mathematicae Applicatae Sinica,2001,17(4):484-493. 被引量：1

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1Ling Juan HAN Qiao Zhen MA.The Weighted Estimates of the Schrdinger Operators on the Nilpotent Lie Group[J].Journal of Mathematical Research and Exposition,2010,30(6):1117-1124.
2张丽,罗锐,李扬荣.带有可乘白噪音的Cahn-Hilliard方程的吸引子(英文)[J].西南大学学报（自然科学版）,2010,32(12):119-124.
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4李栋龙,李群宏.三维Ginzburg-Landau方程的吸引子的分形结构(英文)[J].广西大学学报（自然科学版）,2003,28(3):218-224. 被引量：1

二级引证文献1

1虞蕾,赵宗涛.基于分数维的地形分析在航迹规划中的应用[J].广西大学学报（自然科学版）,2005,30(2):160-163. 被引量：1

1高洪俊.EXPONENTIAL ATTRACTORS FOR A GENERALIZED GINZBURG-LANDAU EQUATION[J].Applied Mathematics and Mechanics(English Edition),1995,16(9):877-882.
2DAI Zhengde 1 and MA Dacai 2 1. Department of Mathematics, Yunnan University, Kunming 650031, China,2. Department of Mathematics, Shangrao Teachers College, Shangrao 334000, China.Exponential attractors of the nonlinear wave equations[J].Chinese Science Bulletin,1998,43(16):1331-1335. 被引量：2
3HuangHaiyang,HuanZhongdan,LuYongqiang.ON THE GLOBAL ATTRACTOR OF GENERALIZED GINZBURG-LANDAU EQUATION IN ONE SPATIAL DIMENSION[J].Journal of Partial Differential Equations,2003,16(4):335-346.
4郭伯灵,王碧祥.WEAK SOLUTIONS TO THE TWO-DIMENSIONAL DERIVATIVE GINZBURG-LANDAU EQUATION[J].Acta Mathematicae Applicatae Sinica,1999,15(1):1-8.
5黄海洋.THE FINITE DIMENSIONAL BEHAVIOUR FOR THE HIGHER-ORDER NONLINEAR GINZBURG-LANDAU SYSTEM IN n SPATIAL DIMENSIONS[J].Acta Mathematicae Applicatae Sinica,2000,16(4):386-395.
6戴正德,蒋慕蓉.EXPONENTIAL ATTRACTORS OF THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN[J].Acta Mathematicae Applicatae Sinica,2001,17(4):484-493. 被引量：1
7Yongjun LI,Xiaoxian ZHANG,Zilong ZANG.Existence of Exponential Attractors for Semigroup in Banach Space[J].Journal of Mathematical Research with Applications,2015,35(2):181-190.
8Zhenchao Cao,Boling Guo,Bixiang Wang.Global existence theory for the two-dimensional derivative Ginzburg-Landau equation[J].Chinese Science Bulletin,1998,43(5):393-395. 被引量：4
9GUO BoLing~1 WANG GuoLian~(2+) Li DongLong~3 1 Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing 100088,China,2 The Graduate School of China Academy of Engineering Physics,P.O.Box 2101,Beijing 100088,China,3 Department of Information and Computer Science,Guangxi University of Technology,Liuzhou 545006,China.The attractor of the stochastic generalized Ginzburg-Landau equation[J].Science China Mathematics,2008,51(5):955-964. 被引量：11
10JIANG Jie,WU Hao,GUO BoLing.Finite dimensional global and exponential attractors for a class of coupled time-dependent Ginzburg-Landau equations[J].Science China Mathematics,2012,55(1):141-157. 被引量：2

Acta Mathematica Sinica,English Series

2000年第3期

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