Large time behaviour of solutions of the Swift-Hohenberg equation

被引：49
作者：
Peletier, LA
Rottschäfer, V
机构：
[1] Leiden Univ, Inst Math, NL-2300 RA Leiden, Netherlands
[2] Ctr Wiskunde Informat, NL-1090 GB Amsterdam, Netherlands
来源：
COMPTES RENDUS MATHEMATIQUE | 2003年 / 336卷 / 03期
关键词：
D O I：
10.1016/S1631-073X(03)00021-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the limiting profiles v of solutions of the Swift-Hohenberg equation on a one-dimensional domain (0, L) for different values of L. We identify those values of L for which v = 0, and discuss the size and the shape of v when it is nontrivial and a global minimiser of an associated energy functional.
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页码：225 / 230
页数：6
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