摘要
本文证明了在Ω的区间长度L满足一定条件下,Kuramoto-Sivashinsky方程生成的动力系统在整个空间L2(Ω)上存在吸引子.
In this paper,we show that the dynamical system generated by the Kuramoto-Sivashinsky equation possesses a global attractor in the whole spaceL^2(Ω) under some assumptions with respect to the length L of internal Ω.
出处
《应用数学》
CSCD
北大核心
2011年第3期443-447,共5页
Mathematica Applicata
基金
Supported by the Fundamental Funds for the Central Universities(XDJK2009C100)