Solving the Linear 1D Thermoelasticity Equations with Pure Delay

Denys Ya. Khusainov and Michael Pokojovy

International Journal of Mathematics and Mathematical Sciences, 2015, vol. 2015, 1-11

Abstract:

We propose a system of partial differential equations with a single constant delay describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval of . 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 . Finally, we deduce an explicit solution representation for the delay problem.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:479267

DOI: 10.1155/2015/479267

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