[PAST EVENT] Mathematics Colloquium and EXTREEMS-QED Lecture: Yu-Min Chung (William & Mary)
January 29, 2016
2pm - 3pm
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.