Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation
نویسنده
چکیده
An approximate inertial manifold for an évolution équation is a finite dimensional smooth manifold such that the orbits enter, after a transient time, a very thin neighbourhood of the manifold In this paper, we consider the Cahn-Hilliard équation and we present a method which allows to construct several approximate inertial manifolds providing better and better order approximations to the orbits. These approximate inertial manifolds exist, whether an exact inertial manifold is known to exist or not
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