A thermoelastic theory with microtemperatures of type III
Analysis of PDEs
2021-03-23 v1 Mathematical Physics
math.MP
Abstract
In this paper, we use the Green-Naghdi theory of thermomechanics of continua to derive a nonlinear theory of thermoelasticity with microtemperatures of type III. This theory permits propagation of both thermal and microtemperatures waves at finite speeds with dissipation of energy. The equations of the linear theory are also obtained. With the help of the semigroup theory of linear operators we establish that the linear anisotropic problem is well posed and we study the asymptotic behavior of the solutions. Finally, we investigate the impossibility of the localization in time of solutions.
Keywords
Cite
@article{arxiv.2103.10956,
title = {A thermoelastic theory with microtemperatures of type III},
author = {Moncef Aouadi and Michele Ciarletta and Francesca Passarella},
journal= {arXiv preprint arXiv:2103.10956},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2103.10753