<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In our study we consider a generalized thermoelasticity theory based on a heat conduction equation in micropolar bodies. Specifically, the heat conduction depends on two distinct temperatures, the conductive temperature and the thermodynamic temperature. In our analysis, the difference between the two temperatures is clear and is highlighted by the heat supply. After we formulate the mixed initial boundary value problem defined in this context, we prove the uniqueness of a solution corresponding some specific initial data and boundary conditions. Also, if the initial energy is negative or null, we prove that the solutions of the mixed problem are exponentially instable.</p>
</abstract>

In our study we consider a generalized thermoelasticity theory based on a heat conduction equation in micropolar bodies. Specifically, the heat conduction depends on two distinct temperatures, the conductive temperature and the thermodynamic temperature. In our analysis, the difference between the two temperatures is clear and is highlighted by the heat supply. After we formulate the mixed initial boundary value problem defined in this context, we prove the uniqueness of a solution corresponding some specific initial data and boundary conditions. Also, if the initial energy is negative or null, we prove that the solutions of the mixed problem are exponentially instable.

A result of instability for two-temperatures Cosserat bodies

Department of Mathematics and Computer Science

Transilvania University of Brasov, Transilvania University of Brasov

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A result of instability for two-temperatures Cosserat bodies"}

In our study we consider a generalized thermoelasticity theory based on a heat conduction equation in micropolar bodies. Specifically, the heat conduction...

A result of instability for two-temperatures Cosserat bodies

Published Online: Jun 02, 2022

Page range: 179 - 192

Received: Sep 24, 2021

Accepted: Nov 30, 2021

DOI: https://doi.org/10.2478/auom-2022-0025

Keywords
thermodynamic temperature, conductive temperature, micropolar bodies, uniqueness, exponential increasing, exponentially instable

© 2022 M. Marin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A result of instability for two-temperatures Cosserat bodies

Published Online: Jun 02, 2022

Page range: 179 - 192

Received: Sep 24, 2021

Accepted: Nov 30, 2021

DOI: https://doi.org/10.2478/auom-2022-0025

Keywordsthermodynamic temperature, conductive temperature, micropolar bodies, uniqueness, exponential increasing, exponentially instable

© 2022 M. Marin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
thermodynamic temperature, conductive temperature, micropolar bodies, uniqueness, exponential increasing, exponentially instable