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Well-posedness for thermo-electro-viscoelasticity of Green–Naghdi type

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Abstract

We study the linear theory of thermo-electro-viscoelasticity of Green–Naghdi type for the case of a one-dimensional body. For the corresponding mathematical model, we prove a uniqueness theorem of the solution to the mixed boundary-initial-value problem by means of the Laplace transform after rewriting the constitutive equations in an appropriate form. Moreover, we derive a result of continuous dependence upon the supply terms.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Transilvania University of Braşov, Braşov, Romania

    Adina Chirilă & Marin Marin

  2. Department of Mathematics ’Tullio Levi Civita’, University of Padua, Padova, Italy

    Adriano Montanaro

Authors
  1. Adina Chirilă
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  2. Marin Marin
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  3. Adriano Montanaro
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Correspondence to Marin Marin.

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The authors declare that for the present article, there is no conflict of interest.

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Communicated by Andreas Öchsner.

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Chirilă, A., Marin, M. & Montanaro, A. Well-posedness for thermo-electro-viscoelasticity of Green–Naghdi type. Continuum Mech. Thermodyn. 34, 39–60 (2022). https://doi.org/10.1007/s00161-021-01039-7

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