Explicit Construction of a Robust Family of Compact Inertial Manifolds

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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