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

被引：0

作者：

CAO Zhenchao+1

2. Institute of Applied Physics and Computational Mathematics

机构：

来源：

ChineseScienceBulletin | 1998年 / 05期

关键词：

Ginzburg-Landau equation; global existence;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

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.

引用

页码：393 / 395

页数：3

共 50 条

[1] Global existence theory for the two-dimensional derivative Ginzburg-Landau equation
Cao, ZC
Guo, BL
Wang, BX
CHINESE SCIENCE BULLETIN, 1998, 43 (05): : 393 - 395
[2] Global existence theory for the two-dimensional derivative Ginzburg-Landau equation
Chin Sci Bull, 5 (393):
[3] WEAK SOLUTIONS TO THE TWO-DIMENSIONAL DERIVATIVE GINZBURG-LANDAU EQUATION
郭伯灵
王碧祥
Acta Mathematicae Applicatae Sinica(English Series), 1999, (01) : 1 - 8
[4] Weak solutions to the two-dimensional derivative Ginzburg-Landau equation
Guo Boling
Wang Bixiang
Acta Mathematicae Applicatae Sinica, 1999, 15 (1) : 1 - 8
[5] GLOBAL EXISTENCE THEORY FOR A GENERALIZED GINZBURG-LANDAU EQUATION
DUAN, JQ
HOLMES, P
TITI, ES
NONLINEARITY, 1992, 5 (06) : 1303 - 1314
[6] Evaporation of droplets in the two-dimensional Ginzburg-Landau equation
Rougemont, J
PHYSICA D-NONLINEAR PHENOMENA, 2000, 140 (3-4) : 267 - 282
[7] Two-dimensional structures in the quintic Ginzburg-Landau equation
Berard, Florent
Vandamme, Charles-Julien
Mancas, Stefan C.
NONLINEAR DYNAMICS, 2015, 81 (03) : 1413 - 1433
[8] Asymptotics for the generalized two-dimensional Ginzburg-Landau equation
Gao, HJ
Lin, GG
Duan, JQ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 247 (01) : 198 - 216
[9] Global existence of solutions to the derivative 2D Ginzburg-Landau equation
Li, YS
Guo, BL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 249 (02) : 412 - 432
[10] Aging phenomena in the two-dimensional complex Ginzburg-Landau equation
Liu, Weigang
Tauber, Uwe C.
EPL, 2019, 128 (03)

← 1 2 3 4 5 →