Journal of Integral Equations and Applications

Sharp control time for viscoelastic bodies

L. Pandolfi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

Source
J. Integral Equations Applications, Volume 27, Number 1 (2015), 103-136.

Dates
First available in Project Euclid: 24 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1424787508

Digital Object Identifier
doi:10.1216/JIE-2015-27-1-103

Mathematical Reviews number (MathSciNet)
MR3316980

Zentralblatt MATH identifier
1328.45013

Subjects
Primary: 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] 93B03: Attainable sets 93B05: Controllability 93C22

Keywords
Controllability and observability integral equations linear systems partial differential equations heat equations with memory viscoelasticity

Citation

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


Export citation