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Paper detail

Regularity and energy transfer for a nonlinear beam equation

In this paper we study some key effects of a discontinuous forcing term in a fourth order wave equation on a bounded domain, modeling the adhesion of an elastic beam with a substrate through an elastic-breakable interaction. By using a spectral decomposition method we show that the main effects induced by the nonlinearity at the transition from attached to detached states can be traced in a loss of regularity of the solution and in a migration of the total energy through the scales.

preprint2020arXivOpen access
Giuseppe Maria CocliteGiuseppe FanizzaFrancesco Maddalena
math.APmath-phmath.MP
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Giuseppe Maria CocliteGiuseppe FanizzaFrancesco Maddalena

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