Display Abstract

Title Non-compact global attractor structures for PDEs with infinite-time blow-up

Name Nitsan Ben-Gal
Country USA
Email ben-gal@ima.umn.edu
Co-Author(s) Kristen Moore, Juliette Hell
Submit Time 2014-02-28 18:45:16
Session
Special Session 33: Bifurcations and asymptotic analysis of solutions of nonlinear models
Contents
We consider reaction-diffusion equations characterized by the presence of infinite-time blow-up and the absence of finite-time blow-up. Such PDEs are ensured non-compact global attractors, but the structural decomposition of these attractors has been an open problem until recently. We present results on how to use bifurcation structure and asymptotic analysis to determine the structure of the non-compact global attractor, including in the case of asymptotically asymmetric growth rates.