Finite time blow-up in nonlinear suspension bridge models
نویسندگان
چکیده
منابع مشابه
Finite time blow-up in nonlinear suspension bridge models
This paper settles a conjecture by Gazzola and Pavani [10] regarding solutions to the fourth order ODE w(4) + kw′′ + f (w) = 0 which arises in models of traveling waves in suspension bridges when k > 0. Under suitable assumptions on the nonlinearity f and initial data, we demonstrate blow-up in finite time. The case k ≤ 0 was first investigated by Gazzola et al., and it is also handled here wit...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2014
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.07.017