A sufficient condition for the existence of approximate inertial manifolds containing the global attractor

Using the recently introduced concept of inertial manifold with delay we present a new method of construction of approximate inertial manifolds (AIMs). In the case when the global attractor can be embedded into a finite-dimensional C²-manifold we construct AIMs of the same dimension which contain the attractor. To cite this article: A. Rezounenko, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 1015–1020.