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On uniqueness and instability for some thermomechanical problems involving the Moore– Gibson–Thompson equation

Author
Pellicer, M.; Quintanilla, R.
Type of activity
Journal article
Journal
Zeitschrift für angewandte Mathematik und Physik
Date of publication
2020-06
Volume
71
Number
3
First page
81-1
Last page
81-21
DOI
10.1007/s00033-020-01307-7
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/187200 Open in new window
URL
https://link.springer.com/article/10.1007/s00033-020-01307-7 Open in new window
Abstract
It is known that in the case that several constitutive tensors fail to be positive definite the system of the ther- moelasticity could become unstable and, in certain cases, ill-posed in the sense of Hadamard. In this paper, we consider the Moore–Gibson–Thompson thermoelasticity in the case that some of the constitutive tensors fail to be positive and we will prove basic results concerning uniqueness and instability of solutions. We first consider the case of the heat conduction when dissipa...
Citation
Pellicer, M.; Quintanilla, R. On uniqueness and instability for some thermomechanical problems involving the Moore– Gibson–Thompson equation. "Zeitschrift für angewandte Mathematik und Physik", Juny 2020, vol. 71, núm. 3, p. 81-1-81-21.
Keywords
Instability, Lagrange identities methods, Logarithmic convexity, Moore–Gibson–Thompson thermoelasticity, Uniqueness
Group of research
GRAA - Research Group in Applied Analysis

Participants