Explicit Construction of a Robust Family of Compact Inertial Manifolds

2008/07/24 by Shomberg, Joseph Lee
#35Q40 (Secondary) #37L05 (Primary) #37L25 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0807.3934

Abstract

A construction of a robust family of compact inertial manifolds is presented. The result aims to complete an analysis of certain types of attracting sets for a class of dissipative infinite dimensional dynamical systems. Application to a hyperbolically relaxed Chaffee-Infante reaction diffusion equation is also discussed.

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