Arts & Sciences Events

Location

Jones Hall, Room 301
200 Ukrop Way
Williamsburg, VA 23185Map this location

Abstract: An inertial manifold, first introduced by Foias, Sell, and Temam in 1988, is a finite-dimensional, exponentially attracting, and positively invariant Lipschitz manifold. If a dynamical system possess an inertial manifold, it is known that all long time behaviors, such as fixed points, limit cycles, and more importantly, the global attractor, are contained in the inertial manifold. Although its theory is well developed, the computation remains a challenge problem. In this talk, we present recent progress on inertial manifolds computations, including algorithms, convergent analysis, implementations, open questions, and related student research projects.

Contact

Junping Shi