Solving the Linear 1D Thermoelasticity Equations with Pure Delay

Khusainov, Denys Ya.; Pokojovy, Michael

Solving the Linear 1D Thermoelasticity Equations with Pure Delay

Dateien

Khusainov_0-257855.pdfGröße: 268.38 KBDownloads: 186

Datum

2014

Autor:innen

Khusainov, Denys Ya.

Pokojovy, Michael

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-0-257855

Link zur Lizenz

Urheberrechtlich geschützt

Projekt

Partielle Differentialgleichungen

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

thermoelasticity; partial differential equations with delay; well-posedness; small parameter asymptotics; solution representation

Zitieren

ISO 690

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

BibTex

@unpublished{Khusainov2014Solvi-29179,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

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Universitätsbibliographie

Ja