SELECTION, STABILITY AND RENORMALIZATION

被引：50

作者：

CHEN, LY ^{[1
]}

GOLDENFELD, N ^{[1
]}

OONO, Y ^{[1
]}

PAQUETTE, G ^{[1
]}

机构：

[1] UNIV ILLINOIS,BECKMAN INST,URBANA,IL 61801

来源：

PHYSICA A | 1994年 / 204卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0378-4371(94)90421-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We illustrate how to extend the concept of structural stability through applying it to the front propagation speed selection problem. This consideration leads us to a renormalization group study of the problem. The study illustrates two very general conclusions: (1) singular perturbations in applied mathematics are best understood as renormalized perturbation methods, and (2) amplitude equations are renormalization group equations.

引用

页码：111 / 133

页数：23

共 62 条

[1] Andronov A., 1937, DOKL AKAD NAUK SSSR, V14, P247
[2] Aronson D., 1975, PARTIAL DIFFERENTIAL, V446
[3] CELL DYNAMIC SYSTEM APPROACH TO BLOCK COPOLYMERS
BAHIANA, M
OONO, Y
[J]. PHYSICAL REVIEW A, 1990, 41 (12): : 6763 - 6771
[4] Bender Carl, 1999, ADV MATH METHODS SCI, V1
[5] PATTERN PROPAGATION IN NONLINEAR DISSIPATIVE SYSTEMS
BENJACOB, E
BRAND, H
DEE, G
KRAMER, L
LANGER, JS
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1985, 14 (03) : 348 - 364
[6] RENORMALIZATION-GROUP AND THE GINZBURG-LANDAU EQUATION
BRICMONT, J
KUPIAINEN, A
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 150 (01) : 193 - 208
[7] BRICMONT J, IN PRESS COMMUN PURE
[8] THE APPLICATION OF CENTER MANIFOLDS TO AMPLITUDE EXPANSIONS .1. ORDINARY DIFFERENTIAL-EQUATIONS
CARR, J
MUNCASTER, RG
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 50 (02) : 260 - 279
[9] Carr J., 1981, APPL CTR MANIFOLD TH
[10] LAMELLAR PHASE IN A MODEL FOR BLOCK COPOLYMERS
CHAKRABARTI, A
GUNTON, JD
[J]. PHYSICAL REVIEW E, 1993, 47 (02): : R792 - R795

← 1 2 3 4 5 6 7 →