Thursday July 28/3:15
MS48/Harbor 1
Attractors and Inertial Manifolds for PDE's
The speakers in this minisymposium will present an overview of recent research on the nature of attractors and inertial manifolds for PDEs and their approximations, arising from physical models. They will discuss approximate inertial manifolds, a "test" application to the Lorenz model and a description of homoclinic structure in the attractor for the complex Ginzburg-Landau equation.
Organizer: Charles R. Doering
Clarkson University
- 3:15: On the Efficiency of Approximate Inertial Manifolds.
Edriss S. Titi, University of California, Irvine
- 3:45: Analysis of Global Attractors for Approximate Inertial Forms of the Lorenz System.
Ciprian I. Foias and Michael S. Jolly, Indiana University, Bloomington
- 4:15: Homoclinic Structure of Chaotic Dynamics in the Complex Ginzburg-Landau Equation.
Benjamin P. Luce, Los Alamos National Laboratory