广义Kuramoto－Sivashinsky型方程惯性流形的存在性

Existence of the Inertial Manifold for Generalized Kuramoto-Sivashinshy Type Eqtaion

本文对一类广义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了该方程的不变雄性质和轨线的强挤压性．

In this paper,the existence of the inertial manifolds for generalized for generalized Kuramoto-Sivashinshy type equation is proved.Invariant cone properties and strong squeezing properties for the orbits are given.