On the stability in phase-lag heat conduction with two temperatures

We investigate the well-posedness and the stability of the solutions for several Taylor approximations of the phase-lag two-temperature equations. We give conditions on the parameters which guarantee the existence and uniqueness of solutions as well as the stability and the instability of the soluti...

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Veröffentlicht in:	Journal of evolution equations 2018-12, Vol.18 (4), p.1697-1712
Hauptverfasser:	Magaña, Antonio, Miranville, Alain, Quintanilla, Ramón
Format:	Artikel
Sprache:	eng
Schlagworte:	35 Partial differential equations 74 Mechanics of deformable solids 74F Coupling of solid mechanics with other effects Analysis Classificació AMS Conduction heating Conductive heat transfer Differential equations, Partial Energy methods Equacions diferencials parcials Instability Matemàtica aplicada a les ciències Matemàtiques i estadística Mathematics Mathematics and Statistics Phase lag Phase-lag heat conduction Spectral analysis Stability Termoelasticitat Thermoelasticity Well posed problems Well-posedness Àrees temàtiques de la UPC
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Beschreibung
Zusammenfassung:	We investigate the well-posedness and the stability of the solutions for several Taylor approximations of the phase-lag two-temperature equations. We give conditions on the parameters which guarantee the existence and uniqueness of solutions as well as the stability and the instability of the solutions for each approximation.
ISSN:	1424-3199 1424-3202
DOI:	10.1007/s00028-018-0457-z