广义Kuramoto—Sivashinsky型方程的惯性流形

Inertial Manifolds for the Generalized Karamoto- Sivashinsky Type Equations

本文及续文对一类广义Ｋｕｒａｍｏｔｏ—Ｓｉｖａｓｈｉｎｓｋｙ型方程证明了惯性流形的存在性，并对其维数作了估计同时研究该方程的不变锥性质（ＩＣＰ）和轨线的强挤压性（ＳＳＰ）．

In this paper,the existence of the inertial manifald for generalized Kuramoto-Sivashinsky type equation is proved.The estimates of Hansdorff dimensions,Invariant cone properties and strong squcezing propertioes for the orbits ane given.