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# Solving the Linear 1D Thermoelasticity Equations with Pure Delay

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KHUSAINOV, Denys Ya., Michael POKOJOVY, 2014. Solving the Linear 1D Thermoelasticity Equations with Pure Delay

@unpublished{Khusainov2014Solvi-29179, title={Solving the Linear 1D Thermoelasticity Equations with Pure Delay}, year={2014}, author={Khusainov, Denys Ya. and Pokojovy, Michael} }

Pokojovy, Michael Khusainov, Denys Ya. Solving the Linear 1D Thermoelasticity Equations with Pure Delay 2014-10-28T09:45:11Z Khusainov, Denys Ya. 2014 2014-10-28T09:45:11Z terms-of-use eng We propose a system of partial differential equations with a single constant delay $\tau > 0$ describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval of $\mathbb{R}^1$. For an initial-boundary value problem associated with this system, we prove a global 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 $\tau \to 0$. Finally, we deduce an explicit solution representation for the delay problem. Pokojovy, Michael

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