# Analysis and Mathematical Physics

## Inertial Manifolds for the Hyperbolic Cahn-Hilliard Equation

An inertial manifold is a positively invariant smooth finite-dimensional manifold which contains the global attractor and which attracts the trajectories at a uniform exponential rate. It follows that the infinite-dimensional dynamical system is then reduced, on the inertial manifold, to a finite system of ordinary differential equations. We will give a new proof of the existence of an inertial manifold for the hyperbolic relaxation of the Cahn-Hilliard equation. Then we will show some continuity properties of the inertial manifold, as the relaxation coefficient tends to zero.

### Date & Time

June 14, 2024 | 2:30pm – 3:30pm

### Location

Simonyi Hall 101 and Remote Access### Speakers

Ahmed Bonfoh, King Fahd University of Petroleum and Minerals, KSA