Codice  QDD 101 
Titolo  Blow up oscillating solutions to some nonlinear fourth order differential equations 
Data  20110609 
Autore/i  Gazzola, F.; Pavani, R. 
Link  Download full text 
Abstract  We give strong theoretical and numerical evidence that solutions to some nonlinear fourth order ordinary differential equations blow up in finite time with infinitely many wild oscillations. We exhibit an explicit example where this phenomenon occurs.
We discuss possible applications to biharmonic partial differential equations and to the suspension bridges model. In particular, we give a possible new explanation of the collapse of bridges. 
