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On the spatial behavior in two-temperature generalized thermoelastic theories

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Miranville, Alain
Quintanilla de Latorre, RamónMés informacióMés informacióMés informació
Document typeArticle
Defense date2017-10-01
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICA (MINECO-MTM2013-42004-P)
Abstract
This paper investigates the spatial behavior of the solutions of two generalized thermoelastic theories with two temperatures. To be more precise, we focus on the Green–Lindsay theory with two temperatures and the Lord–Shulman theory with two temperatures. We prove that a Phragmén–Lindelöf alternative of exponential type can be obtained in both cases. We also describe how to obtain a bound on the amplitude term by means of the boundary conditions for the Green–Lindsay theory with two temperatures.
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The final publication is available at link.springer.com via https://doi.org/10.1007/s00033-017-0857-x
CitationMiranville, A., Quintanilla, R. On the spatial behavior in two-temperature generalized thermoelastic theories. "Zeitschrift für angewandte Mathematik und Physik", 1 Octubre 2017, vol. 68, núm. 5, p. 110-1-110-16. 
URIhttp://hdl.handle.net/2117/108910
DOI10.1007/s00033-017-0857-x
ISSN0044-2275
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