An Optimal Control Problem for A Viscoelastic Plate in a Dynamic Contact with an Obstacle

Bock, Igor; Kečkemétyová, Mária

doi:10.2478/tmmp-2018-0003

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An Optimal Control Problem for A Viscoelastic Plate in a Dynamic Contact with an Obstacle

Tatra Mountains Mathematical Publications

Volume 71 (2018): Issue 1 (December 2018)

By: Igor Bock and Mária Kečkemétyová

Open Access

|Jan 2019

Abstract

We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply supported anisotropic viscoelastic plate against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. We verify the existence of an optimal thickness function.

References

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DOI: https://doi.org/10.2478/tmmp-2018-0003 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 27 - 37

Submitted on: Dec 11, 2017

Published on: Jan 25, 2019

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Vibrating viscoelastic plate,

Related subjects:

© 2019 Igor Bock, Mária Kečkemétyová, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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