|Titolo||Blow up oscillating solutions to some nonlinear fourth order differential equations|
|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.|