Moore–Gibson–Thompson thermoelasticity
We consider a thermoelastic theory where the heat conduction is described by the Moore–Gibson–Thompson equation. In fact, this equation can be obtained after the introduction of a relaxation parameter in the Green–Naghdi type III model. We analyse the one- and three-dimensional cases. In three dimen...
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| Veröffentlicht in: | Mathematics and mechanics of solids 2019-12, Vol.24 (12), p.4020-4031 |
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| container_title | Mathematics and mechanics of solids |
| container_volume | 24 |
| creator | Quintanilla, Ramón |
| description | We consider a thermoelastic theory where the heat conduction is described by the Moore–Gibson–Thompson equation. In fact, this equation can be obtained after the introduction of a relaxation parameter in the Green–Naghdi type III model. We analyse the one- and three-dimensional cases. In three dimensions, we obtain the well-posedness and the stability of solutions. In one dimension, we obtain the exponential decay and the instability of the solutions depending on the conditions over the system of constitutive parameters. We also propose possible extensions for these theories. |
| doi_str_mv | 10.1177/1081286519862007 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1081-2865 |
| ispartof | Mathematics and mechanics of solids, 2019-12, Vol.24 (12), p.4020-4031 |
| issn | 1081-2865 1741-3028 |
| language | eng |
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| source | Recercat; SAGE Journals |
| subjects | 35 Partial differential equations 74 Mechanics of deformable solids Classificació AMS Existence Matemàtica aplicada a les ciències Matemàtiques i estadística Moore–Gibson–Thompson equation Relaxation parameter Stability Termoelasticitat Thermoelasticity Àrees temàtiques de la UPC |
| title | Moore–Gibson–Thompson thermoelasticity |
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