Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841025 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 16 Pages |
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.
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Authors
Filippo Gazzola, Raffaella Pavani,