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

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dc.contributor.authorFernández, José
dc.contributor.authorMukhopadhyay, Santwana
dc.contributor.authorQuintanilla, Ramón
dc.contributor.authorShivay, Om Namha
dc.date.accessioned2023-04-25T05:54:02Z
dc.date.available2023-04-25T05:54:02Z
dc.date.issued2022
dc.descriptionThis paper is submitted by the author of IIT (BHU), Varanasien_US
dc.description.abstractIn 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.sponsorshipThe 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.identifier.issn02322064
dc.identifier.urihttps://idr-sdlib.iitbhu.ac.in/handle/123456789/2244
dc.language.isoenen_US
dc.publisherEuropean Mathematical Society Publishing Houseen_US
dc.relation.ispartofseriesZeitschrift fur Analysis und ihre Anwendung;Volume 41, Issue 1-2, Pages 37 - 48
dc.subjectenergy decayen_US
dc.subjectexistence of solutionsen_US
dc.subjectthermoelasticityen_US
dc.subjectTwo-temperaturesen_US
dc.titleOn the existence and decay in a new thermoelastic theory with two temperaturesen_US
dc.typeArticleen_US

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