Alessandro Pugliese, Università di Bari


Burnside Hall Room 1104, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: Blow-up profile for a family of non-linear ODEs

Abstract: We consider a class of fourth order nonlinear ODEs, commonly referred to as Fisher-Kolmogorov or Swift-Hohenberg equations.

Among several applications, these equations serve as a model for suspension bridges. Under certain hypothesis,

solutions to these equations are known to blow-up in finite time through wide oscillations. We characterize in detail the blow-up profile of those solutions.