THE TIME-DEPENDENT AMPLITUDE EQUATION FOR THE SWIFT-HOHENBERG PROBLEM

被引：115

作者：

COLLET, P ^{[1
]}

ECKMANN, JP ^{[1
]}

机构：

[1] UNIV GENEVA,DEPT PHYS THEOR,CH-1211 GENEVA 4,SWITZERLAND

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 132卷 / 01期

关键词：

D O I：

10.1007/BF02278004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Precise estimates for the validity of the amplitude approximation for the swift-Hohenberg equation are given, in a fully time dependent framework. It is shown that small solutions of order O(e{open}) which are modulated like stationary solutions have an evolution which is well described in the amplitude approximation for a time of order O(e{open}-2). For the proofs, we use techniques for nonlinear semigroups and oscillatory integrals. © 1990 Springer-Verlag.

引用

页码：139 / 153

页数：15