Archivio Istituzionale della RicercaIn this paper we consider a viscoelastic three dimensional body (of Maxwell-Boltzmann type) controlled on (part of) the boundary. We assume that the material is isotropic and homogeneous. If the body is elastic (i.e. no dissipation due to past memory), controllability has been studied by several authors. We prove that the viscoelastic body inherits the controllability properties of the corresponding purely elastic system. The proof relays on cosine operator methods combined with moment theory.
Controllability of isotropic viscoelastic bodies of Maxwell–Boltzmann type / Pandolfi, Luciano. - In: ESAIM. COCV. - ISSN 1292-8119. - ELETTRONICO. - 23:(2017), pp. 1649-1666. [10.1051/cocv/2016068]
Controllability of isotropic viscoelastic bodies of Maxwell–Boltzmann type
PANDOLFI, LUCIANO
2017
Abstract
In this paper we consider a viscoelastic three dimensional body (of Maxwell-Boltzmann type) controlled on (part of) the boundary. We assume that the material is isotropic and homogeneous. If the body is elastic (i.e. no dissipation due to past memory), controllability has been studied by several authors. We prove that the viscoelastic body inherits the controllability properties of the corresponding purely elastic system. The proof relays on cosine operator methods combined with moment theory.
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https://hdl.handle.net/11583/2681728
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