Unilateral dynamic contact of two viscoelastic beams

Author:

Berti Alessia,Naso Maria

Abstract

This work is focused on a dynamic unilateral contact problem between two viscoelastic beams. Global-in-time existence of weak solutions describing the dynamics of the system is established. In addition, asymptotic longtime behavior of weak solutions is discussed: it is shown that the energy solutions decay exponentially to zero under suitable decay properties of the memory kernels.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference45 articles.

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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2. Analysis of a contact problem for a viscoelastic Bresse system;ESAIM: Mathematical Modelling and Numerical Analysis;2021-05

3. A dynamic contact problem for a thermoelastic diffusion beam with the rotational inertia;Applied Numerical Mathematics;2018-04

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