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On the spatial behavior in two-temperature generalized thermoelastic theories

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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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Authors and Affiliations

  1. Laboratoire de Mathématiques et Applications, UMR CNRS 7348 - SP2MI, Université de Poitiers, Boulevard Marie et Pierre Curie - Téléport 2, 86962, Chasseneuil Futuroscope Cedex, France

    Alain Miranville

  2. ESEIAAT-UPC Matemàtica, Colom 11, 08222, Terrassa, Barcelona, Spain

    Ramon Quintanilla

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  1. Alain Miranville
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  2. Ramon Quintanilla
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Correspondence to Ramon Quintanilla.

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Miranville, A., Quintanilla, R. On the spatial behavior in two-temperature generalized thermoelastic theories. Z. Angew. Math. Phys. 68, 110 (2017). https://doi.org/10.1007/s00033-017-0857-x

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  • DOI: https://doi.org/10.1007/s00033-017-0857-x

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