STABILITY OF THE BEKKI-NOZAKI HOLE SOLUTIONS TO THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION

被引：38
作者：
CHATE, H
MANNEVILLE, P
机构：
[1] Service de Physique de l'Etat Condensé, Centre d'Etudes de Saclay
来源：
PHYSICS LETTERS A | 1992年 / 171卷 / 3-4期
关键词：
D O I：
10.1016/0375-9601(92)90424-K
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The linear stability of the family of "hole" solutions to the one-dimensional complex Ginzburg-Landau equation found by Bekki and Nozaki is determined by studying the linearized problem in a well-adapted referential. The neutral subspace is found to possess a non-trivial structure. The loss of stability can be two-fold: a "phase" instability related to continuous parts of the spectrum, and a "core" instability related to a discrete mode. The symmetric, zero velocity hole is found to be the least stable solution of the family (core-wise), and the core instability boundaries are determined in the parameter plane for two different hole velocities.
引用
收藏
页码：183 / 188
页数：6
相关论文
共 12 条
[1]  
ARANSON IS, LOCALIZED OSCILLATIN
[2]  
Arnold VI., 1983, GEOMETRICAL METHODS
[3]   FORMATIONS OF SPATIAL PATTERNS AND HOLES IN THE GENERALIZED GINZBURG-LANDAU EQUATION [J].
BEKKI, N ;
NOZAKI, K .
PHYSICS LETTERS A, 1985, 110 (03) :133-135
[4]  
CHATE H, IN PRESS
[5]  
CHATE H, IN PRESS NONLINEARIT
[6]   DIRECT OBSERVATION OF THE INTERMITTENCY OF INTENSE VORTICITY FILAMENTS IN TURBULENCE [J].
DOUADY, S ;
COUDER, Y ;
BRACHET, ME .
PHYSICAL REVIEW LETTERS, 1991, 67 (08) :983-986
[7]  
Drazin P., 1966, ADVANCES APPLIED MEC, V9, P1, DOI DOI 10.1016/S0065-2156(08)70006-1
[8]  
Newell A. C., 1974, LECTURES APPLIED MAT, V15, P157
[9]   TURBULENT DISSIPATION RATES AND THE RANDOM OCCURRENCE OF COHERENT EVENTS [J].
NEWELL, AC ;
RAND, DA ;
RUSSELL, D .
PHYSICS LETTERS A, 1988, 132 (2-3) :112-123
[10]   INSTABILITY OF THE HOLE SOLUTION IN THE COMPLEX GINZBURG-LANDAU EQUATION [J].
SAKAGUCHI, H .
PROGRESS OF THEORETICAL PHYSICS, 1991, 85 (03) :417-421
12