ANALYTICITY FOR THE KURAMOTO-SIVASHINSKY EQUATION

被引：65
|
作者：
COLLET, P
ECKMANN, JP
EPSTEIN, H
STUBBE, J
机构：
[1] UNIV GENEVA,DEPT PHYS THEOR,CH-1211 GENEVA 4,SWITZERLAND
[2] UNIV GENEVA,MATH SECT,CH-1211 GENEVA 4,SWITZERLAND
[3] IHES,BURES SUR YVETTE,FRANCE
[4] CERN,CH-1211 GENEVA 23,SWITZERLAND
来源：
PHYSICA D | 1993年 / 67卷 / 04期
关键词：
D O I：
10.1016/0167-2789(93)90168-Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the analyticity properties of solutions of the Kuramoto-Sivashinsky equation partial derivative(t)U(x,t) = -(partial derivative(x)2 + partial derivative(x)4) U(x, t) - U(x, t) partial derivative(x)U(x, t), for initial data which are period which show that the solutions of the KS-equation are analytic in a strip around the real axis whose width is independent of L. A rigorous lower bound 0 (L-16/25) is given for this width.
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页码：321 / 326
页数：6
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