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.

引用

页码：321 / 326

页数：6

共 10 条

[1] A GLOBAL ATTRACTING SET FOR THE KURAMOTO-SIVASHINSKY EQUATION [J].