Solving the Linear 1D Thermoelasticity Equations with Pure Delay

Joint Authors

Khusainov, Denys Ya.
Pokojovy, Michael

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-02-04

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We propose a system of partial differential equations with a single constant delay τ>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 τ→0.

Finally, we deduce an explicit solution representation for the delay problem.

American Psychological Association (APA)

Khusainov, Denys Ya.& Pokojovy, Michael. 2015. Solving the Linear 1D Thermoelasticity Equations with Pure Delay. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1066204

Modern Language Association (MLA)

Khusainov, Denys Ya.& Pokojovy, Michael. Solving the Linear 1D Thermoelasticity Equations with Pure Delay. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1066204

American Medical Association (AMA)

Khusainov, Denys Ya.& Pokojovy, Michael. Solving the Linear 1D Thermoelasticity Equations with Pure Delay. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1066204

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1066204