Length scales in solutions of the complex Ginzburg-Landau equation

被引：30
作者：
Bartuccelli, MV
Gibbon, JD
Oliver, M
机构：
[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT MATH,LONDON SW7 2BZ,ENGLAND
[2] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721
来源：
PHYSICA D | 1996年 / 89卷 / 3-4期
关键词：
D O I：
10.1016/0167-2789(95)00275-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalise and in certain cases improve on previous a priori estimates of Sobolev norms of solutions to the generalised complex Ginzburg-Landau equation. A set of dynamic length scales based on ratios of these norms is defined. We are able to derive lower bounds for time averages and long-time limits of these length scales. The bounds scale like the inverses of our L(infinity) bounds.
引用
收藏
页码：267 / 286
页数：20
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