Ginzburg-Landau方程的齐次化
Homogenization of Ginzburg-Landau Equations
摘要
本文研究了Ginzburg-Landau边值问题加罚齐次化方程解的存在唯一性,文中通过引入两个参数ε和δ,分别研究ε→0和δ→0时,上述方程解的渐近性态得到的。
This paper deals with the asymptotic behavior of solutions of the Ginzburg-Landau boundary value problem with respect to two parameters ε and δ. We discuss the existence and uniqueness of solutions and their asymptotic behavior as ε → 0, as well as the homogeniza tion of problems Pε δ and Pδ as δ→ 0.
出处
《工程数学学报》
CSCD
北大核心
2005年第3期381-392,共12页
Chinese Journal of Engineering Mathematics
参考文献12
-
1Andre N, Shafrir I. Asymptotic behavior of minimizers of the Ginzburg-Landau functional with weight,part Ⅰ and Ⅱ[J]. Arch. Mech. and Anal, 1998;142:75-98
-
2Beaulieu A, Hadiji R. A Ginzburg-Landau problem with weight having minima on the boundary[J]. Proceeding of the Royal Society of Edinburgh, 1998;128A:1181-1215
-
3Beaulieu A, Hadiji R. Asymptotics for minimizers of a class of Ginzburg-Landau equations with weight[J].C. R. Acad. Sci. Paris, Ser., I 1995;320:181-186
-
4Berlyand L, Khruslov E. Homogenization of harmonic maps and superconducting composites[J]. SIAM J.Appl. Math., 1999;59(5):1892-1916
-
5Bethuel F, Brezis H, Helein F. Ginzburg-Landau Vortices[M]. Birkhauser, Boston, 1994
-
6Bethuel F, Brezis H, Helein F. Asymptotics for the minimization of a Ginzburg-Landau functional[J]. Calc.Var. Partial Differential Equations 11993;123-148
-
7Cioranescu D, Donato P. An Introduction to Homogenization[M]. Oxford University Press 1999
-
8DeGennes P G. Superconductivity of Metals and Alloys[M]. Benjamin New York and Amesterdam, 1996
-
9Rubinstein J. On the asymptotic behavior of minimizers of the Ginzburg-Landau vortices[J]. Z. Angew.Math. Phys., 1995;46:739-751
-
10Delpino M, Felmer P. On the basic concentration for the Ginzburg-Landau equation[J]. Diff. Int. Equations 11 1998;771-779
-
1陈奉苏,蔡文康.Ginzburg—Landau偏微分方程的近似惯性流形族的构造[J].上海电力学院学报,1994,0(1):1-10. 被引量：1
-
2莫春鹏,李栋龙.复Ginzburg-landau方程整体解的存在性[J].广西工学院学报,2006,17(3):17-20. 被引量：1
-
3徐光迎.广义Ginzburg-Landau方程的吸引子[J].佛山科学技术学院学报（自然科学版）,2001,19(3):6-10.
-
4李娜,闻道君.带乘性噪声的Ginzburg-Landau方程[J].西南师范大学学报（自然科学版）,2017,42(4):20-26.
-
5徐振源.Ginzburg-Landau方程的整体吸引子和同宿轨道[J].江苏大学学报（自然科学版）,2004,25(3):224-227. 被引量：1
-
6陈兆蕙,李泽华.3维非线性复Ginzburg-Landau方程的同宿波解[J].徐州师范大学学报（自然科学版）,2012,30(1):14-17. 被引量：4
-
7关立强,王翠,孙淑珍.SINS超导结的临界厚度[J].延边大学学报（自然科学版）,1996,22(4):18-21. 被引量：1
-
8李水莲,刘乐,夏子伦.具有高阶精度各向异性场的landau—lifshitz方程弱解的存在性[J].大观周刊,2012(41):231-232.
