Solving the Linear 1D Thermoelasticity Equations with Pure Delay

Khusainov, Denys Ya; Pokojovy, Michael

Solving the Linear 1D Thermoelasticity Equations with Pure Delay

Files

Pokojovy_0-289839.pdf(281.68 KB)

Date

2015

Authors

Khusainov, Denys Ya

Pokojovy, Michael

Publication type

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.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

KHUSAINOV, 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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Bibliography of Konstanz

Yes