On the spatial behavior in two-temperature generalized thermoelastic theories

Miranville, Alain; Quintanilla de Latorre, Ramón

doi:10.1007/s00033-017-0857-x

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Miranville, Alain

Quintanilla de Latorre, Ramón

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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