On the existence and decay in a new thermoelastic theory with two temperatures

Fernández, José; Mukhopadhyay, Santwana; Quintanilla, Ramón; Shivay, Om Namha

dc.contributor.author	Fernández, José
dc.contributor.author	Mukhopadhyay, Santwana
dc.contributor.author	Quintanilla, Ramón
dc.contributor.author	Shivay, Om Namha
dc.date.accessioned	2023-04-25T05:54:02Z
dc.date.available	2023-04-25T05:54:02Z
dc.date.issued	2022
dc.identifier.issn	02322064
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/2244
dc.description	This paper is submitted by the author of IIT (BHU), Varanasi	en_US
dc.description.abstract	In this work, we study a new two-temperatures thermoelastic model. Both thermodynamic and conductive temperatures are included, being related by means of an elliptic or parabolic equation. Then two problems are considered assuming the dependence or not on the rate of conductivity temperature. Existence of solutions for the three-dimensional setting and the exponential energy decay in the one-dimensional case are shown.	en_US
dc.description.sponsorship	The authors thank the anonymous reviewer whose comments have improved the final quality of the article. The work of R. Quintanilla has been supported by Ministerio de Ciencia, Innovación y Universidades under the research project “Análisis matemático aplicado a la termomecánica” (PID2019-105118GB-I00, FEDER). Funding. The work of R. Quintanilla has been supported by Ministerio de Ciencia, Inno-vación y Universidades under the research project “Análisis matemático aplicado a la termomecánica” (PID2019-105118GB-I00, FEDER).	en_US
dc.language.iso	en	en_US
dc.publisher	European Mathematical Society Publishing House	en_US
dc.relation.ispartofseries	Zeitschrift fur Analysis und ihre Anwendung;Volume 41, Issue 1-2, Pages 37 - 48
dc.subject	energy decay	en_US
dc.subject	existence of solutions	en_US
dc.subject	thermoelasticity	en_US
dc.subject	Two-temperatures	en_US
dc.title	On the existence and decay in a new thermoelastic theory with two temperatures	en_US
dc.type	Article	en_US