Global existence theory for the two-dimensional derivative Ginzburg-Landau equation 被引量：4

Global existence theory for the two-dimensional derivative Ginzburg-Landau equation

导出

摘要 The generalized derivative Ginzburg-Landau equation in two spatial dimensions is discussed. The existence and uniqueness of global solution are obtained by Galerkin method and by a priori estimates on the solution in H+1 -norm and H +2-norm. The generalized derivative Ginzburg-Landau equation in two spatial dimensions is discussed. The existence and uniqueness of global solution arc obtained by Galerkin method and bya priori estimates on the solution inH 1-norm andH 2-norm.

作者 Zhenchao Cao Boling Guo Bixiang Wang

机构地区 Xiamen Univ Inst Appl Phys & Computat Math

出处《Chinese Science Bulletin》 SCIE EI CAS 1998年第5期393-395,共3页

基金 ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .197710 6 9)

关键词 GINZBURG-LANDAU equation GLOBAL existence. Ginzburg-Landau equation global existence

分类号 O175 [理学—基础数学]

引文网络
相关文献

同被引文献9

1Temam R.Infinite-Dimensional Dynamical Systems in Mechanics and Physics[].Journal of Applied Mathematics.1988
2Duan J,Holmes P.On the Cauchy problem of a generalized Ginzburg-Landau equation[].Nonlinear Analysis.1994
3Bartuccelli 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
4Doering C R,Gibbon J D,Levermore C D.Weak and strong solutions of the complex Ginzburg-Landau equation[].Physica D Nonlinear Phenomena.1994
5Duan J,Holmes P,Titi E S.Global existence theory for a generalized Ginzburg-Landau equation[].Nonlinearity.1992
6A Eden,C Foias,B Nicolaenko,R Temam.Ensembles inertiels pour des equations d’evolution dissipatives[].Comptes Rendus de l Académie des Sciences.1990
7B Guo,B Wang.Finite dimensional behavior for the derivatiave Ginzburg-Landau equation in two spatial dimensions[].Physica D Nonlinear Phenomena.1995
8Chen Yunmei,Ding Shijin,Guo Doling Department of Mathematics, University of Florida, Gainesville, FL32611, U.S.A. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, 100088, China.Partial Regularity for Two Dimensional Landau-Lifshitz Equations[J].Acta Mathematica Sinica,English Series,1998,14(3):423-432. 被引量：12
9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

引证文献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.
3Boling 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.Exponential Attractors for the Generalized Ginzburg-Landau Equation[J].Acta Mathematica Sinica,English Series,2000,16(3):515-526. 被引量：4
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.

二级引证文献4

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.
3谭婕.具有乘法白噪音的Kuramoto-Sivashinsky方程在奇解子空间上的随机吸引子[J].课程教育研究,2017,0(31):191-192.
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

1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.
2ZHAO Xia,HU Wei-min,JIANG Da-qing.Existence Theory for Single and Multiple Positive Solutions to Singular Boundary Value Problems for Second-order Differential Systems P-Laplacian[J].Chinese Quarterly Journal of Mathematics,2013,28(3):345-354. 被引量：4
3张乔夫,崔俊芝.Existence theory for Rosseland equation and its homogenized equation[J].Applied Mathematics and Mechanics(English Edition),2012,33(12):1595-1612.
4HuangHaiyang,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.
5Wang Yiqin Chen Xiaoxing (College of Math, and Computer Science, Fuzhou University, Fuzhou 350002).OPTIMAL EXISTENCE THEORY FOR SINGLE AND MULTIPLE POSITIVE PERIODIC SOLUTIONS TO FUNCTIONAL DIFFERENCE EQUATIONS WITH FEEDBACK CONTROL[J].Annals of Differential Equations,2006,22(3):378-383.
6GUO 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
7高洪俊.EXPONENTIAL ATTRACTORS FOR A GENERALIZED GINZBURG-LANDAU EQUATION[J].Applied Mathematics and Mechanics(English Edition),1995,16(9):877-882.
8戴振祥,徐园芬.Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation[J].Applied Mathematics and Mechanics(English Edition),2011,32(12):1615-1622.
9温焕尧,丁时进.VORTEX DYNAMICS OF THE ANISOTROPIC GINZBURG-LANDAU EQUATION[J].Acta Mathematica Scientia,2010,30(3):949-962. 被引量：2
10吴淑贞,程荣军,葛红霞.The time-dependent Ginzburg-Landau equation for the two-velocity difference model[J].Chinese Physics B,2011,20(8):130-135.

Chinese Science Bulletin

1998年第5期

浏览历史

内容加载中请稍等...

Global existence theory for the two-dimensional derivative Ginzburg-Landau equation 被引量：4

同被引文献9

引证文献4

二级引证文献4

相关作者

相关机构

相关主题

浏览历史