On the spatial behavior in two-temperature generalized thermoelastic theories
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ProjectANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICA (MINECO-MTM2013-42004-P)
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.
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.