Solving the Linear 1D Thermoelasticity Equations with Pure Delay

Zitieren

Dateien zu dieser Ressource

Prüfsumme: MD5:47b02ba1469a520ef1445b4a0fad6060

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

@article{Khusainov2015Solvi-31401, title={Solving the Linear 1D Thermoelasticity Equations with Pure Delay}, year={2015}, doi={10.1155/2015/479267}, volume={2015}, issn={0161-1712}, journal={International Journal of Mathematics and Mathematical Sciences}, author={Khusainov, Denys Ya and Pokojovy, Michael}, note={Article Number: 479267} }

eng 2015-07-08T15:34:53Z Khusainov, Denys Ya 2015 Pokojovy, Michael Khusainov, Denys Ya 2015-07-08T15:34:53Z Solving the Linear 1D Thermoelasticity Equations with Pure Delay Pokojovy, Michael 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 R<sub>1</sub> . 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.

Dateiabrufe seit 08.07.2015 (Informationen über die Zugriffsstatistik)

Pokojovy_0-289839.pdf 143

Das Dokument erscheint in:

KOPS Suche


Stöbern

Mein Benutzerkonto