On the existence and decay in a new thermoelastic theory with two temperatures
type: Item
instance of: scholarly article
title: On the existence and decay in a new thermoelastic theory with two temperatures
zbMATH Open document ID: 1503.74023
DOI: 10.4171/ZAA/1702
author: Om Namha Shivay
author: J. R. Fernández
author: Santwana Mukhopadhyay
author: Ramón Quintanilla
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2022-12-02T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74H20
Mathematics Subject Classification ID: 74H40
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 7626229
zbMATH Keywords: thermodynamic temperature
zbMATH Keywords: conductive temperature
zbMATH Keywords: exponential energy decay
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7626229