Journal of Integral Equations and Applications
- J. Integral Equations Applications
- Volume 27, Number 1 (2015), 103-136.
Sharp control time for viscoelastic bodies
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.
J. Integral Equations Applications, Volume 27, Number 1 (2015), 103-136.
First available in Project Euclid: 24 February 2015
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Pandolfi, L. Sharp control time for viscoelastic bodies. J. Integral Equations Applications 27 (2015), no. 1, 103--136. doi:10.1216/JIE-2015-27-1-103. https://projecteuclid.org/euclid.jiea/1424787508