A result of instability for two-temperatures Cosserat bodies

Autor: Marin M., Vlase S., Fudulu I.M.
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 179-192 (2022)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2022-0025
Popis: 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.
Databáze: Directory of Open Access Journals