Abstract
We first formulate the mixed backward in time problem in the context of thermoelasticity for dipolar materials. To prove the consistency of this mixed problem, our first main result is regarding the uniqueness of the solution for this problem. This is obtained based on some auxiliary results, namely, four integral identities. The second main result is regarding the temporal behavior of our thermoelastic body with a dipolar structure. This behavior is studied by means of some relations on a partition of various parts of the energy associated to the solution of the problem.
| Original language | English |
|---|---|
| Article number | 863 |
| Journal | Symmetry |
| Volume | 11 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1 Jul 2019 |
Bibliographical note
Publisher Copyright:© 2019 by the authors.
Keywords
- Backward in time problem
- Cesaro means
- Dipolar thermoelastic body
- Partition of energies
- Uniqueness of solution
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Chemistry (miscellaneous)
- General Mathematics
- Physics and Astronomy (miscellaneous)
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