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Regularity and energy transfer for a nonlinear beam equation

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 نشر من قبل Giuseppe Maria Coclite
 تاريخ النشر 2020
  مجال البحث فيزياء
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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.



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