We will discuss classical and new results on the existence or non-existence of inertial manifolds (IMs) for semilinear parabolic equation. In particular, we report on the existence of IMs for the 1D reaction-diffusion-advection systems with Dirichlet or Neumann boundary conditions and give the counterexamples for the case of periodic boundary co...
Creator:
Zelik, Sergey (University of Surrey)
Created:
2016-06-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will describe recent results (obtained jointly with A. Guionnet P. Wood) concerning perturbations of non-normal random matrices and their stabilization by additive noise. This builds on techniques introduced earlier inthe context of the 'single ring theorem', by Guionnet, Krishnapur, and the speaker.
Creator:
Zeitouni, Ofer (University of Minnesota, Twin Cities)
Created:
2011-09-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This series will highlight the main steps in the approach to universality based on dynamics and comparisons of Green functions. The emphasis will be on the basic steps, not on sharpest results.
Creator:
Zeitouni, Ofer (University of Minnesota, Twin Cities)
Created:
2012-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.