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.