Publication

Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings

Nicola De Nitti
2024
Journal Articles

Abstract

We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modeling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive material. The key feature of of the problem is that the interplay between the nonlinear force and the boundary conditions allows for a continuous set of equilibrium points. We prove an exponential rate of convergence for the solution towards a (uniquely determined) equilibrium point.

Official source

https://infoscience.epfl.ch/entities/publication/8018150f-0cc9-4236-ba55-5c53bdb19999

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Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings

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