## Solving the Linear 1D Thermoelasticity Equations with Pure Delay

2015
##### Authors
Khusainov, Denys Ya
Journal article
##### Published in
International Journal of Mathematics and Mathematical Sciences ; 2015 (2015). - 479267. - ISSN 0161-1712. - eISSN 1687-0425
##### Abstract
We propose a system of partial differential equations with a single constant delay r>0 describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval of R1 . For an initial-boundary value problem associated with this system, we prove a well-posedness result in a certain topology under appropriate regularity conditions on the data. Further, we show the solution of our delayed model to converge to the solution of the classical equations of thermoelasticity as r--> 0. Finally, we deduce an explicit solution representation for the delay problem.
510 Mathematics
##### Cite This
ISO 690KHUSAINOV, Denys Ya, Michael POKOJOVY, 2015. Solving the Linear 1D Thermoelasticity Equations with Pure Delay. In: International Journal of Mathematics and Mathematical Sciences. 2015, 479267. ISSN 0161-1712. eISSN 1687-0425. Available under: doi: 10.1155/2015/479267
BibTex
@article{Khusainov2015Solvi-31401,
year={2015},
doi={10.1155/2015/479267},
title={Solving the Linear 1D Thermoelasticity Equations with Pure Delay},
volume={2015},
issn={0161-1712},
journal={International Journal of Mathematics and Mathematical Sciences},
author={Khusainov, Denys Ya and Pokojovy, Michael},
note={Article Number: 479267}
}

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