The evolution in time of a viscoelastic body is described by an equation with memory, which can be seen as a perturbation of the equations of elasticity. This observation is a useful tool in the study of control problems. In this paper, by using moment methods, we compare a viscoelastic system which fills a surface or a solid region (the string case has already been studied) with its elastic counterpart (which is a generalized telegrapher's equation) in order to prove exact controllability of the viscoelastic body as a consequence of the assumed controllability of the associated telegrapher's equation.
Sharp control time for viscoelastic bodies / Pandolfi, Luciano. - In: THE JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS. - ISSN 0897-3962. - STAMPA. - 27:1(2015), pp. 103-136. [10.1216/JIE-2015-27-1-103]
Sharp control time for viscoelastic bodies
PANDOLFI, LUCIANO
2015
Abstract
The evolution in time of a viscoelastic body is described by an equation with memory, which can be seen as a perturbation of the equations of elasticity. This observation is a useful tool in the study of control problems. In this paper, by using moment methods, we compare a viscoelastic system which fills a surface or a solid region (the string case has already been studied) with its elastic counterpart (which is a generalized telegrapher's equation) in order to prove exact controllability of the viscoelastic body as a consequence of the assumed controllability of the associated telegrapher's equation.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2592154
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