CodiceQDD 127
TitoloWide oscillations finite time blow up for solutions to nonlinear fourth order differential equations
Autore/iGazzola, F.; Pavani, R.
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AbstractWe give sufficient conditions for local solutions to some fourth order semilinear ordinary differential equations to blow up in finite time with wide oscillations. This phenomenon is not visible for lower order equations. This result is then applied to several classes of semilinear partial differential equations in order to characterize the blow up of solutions. In particular, its applications to a suspension bridge model are widely discussed. We also give numerical results which describe this oscillating blow up and allow to suggest several open problems and formulate some related conjectures.