A GLOBAL ATTRACTING SET FOR THE KURAMOTO-SIVASHINSKY EQUATION

被引：123

作者：

COLLET, P

ECKMANN, JP

EPSTEIN, H

STUBBE, J

机构：

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

[2] IHES,BURES SUR YVETTE,FRANCE

[3] UNIV GENEVA,MATH SECT,CH-1211 GENEVA 4,SWITZERLAND

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 152卷 / 01期

关键词：

D O I：

10.1007/BF02097064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New bounds are given for the L2-norm of the solution 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)(x, t), for initial data which are periodic with period L. There is no requirement on the antisymmetry of the initial data. The result is lim sub/t --> infinity \\U(.,t)\\2 less-than-or-equal-to const. L8/5.

引用

页码：203 / 214

页数：12

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