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Existence and stability results for thermoelastic dipolar bodies with double porosity

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Abstract

This paper is concerned with the theory of thermoelastic dipolar bodies which have a double porosity structure. In contrast with previous papers dedicated to classical elastic bodies, in our context the double porosity structure of the body is influenced by the displacement field, which is consistent with real models. In this setting, we show instability of solution as the initial energy is negative while under an appropriated (and realistic) condition, we prove existence and uniqueness of solution using semi-group theory.

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Authors and Affiliations

  1. Department of Mathematics, Transilvania University of Brasov, 500091, Brasov, Romania

    M. Marin

  2. LAMAV, FR CNRS 2956, Université de Valenciennes et du Hainaut Cambrésis, 59313, Valenciennes Cedex 9, France

    S. Nicaise

Authors
  1. M. Marin
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  2. S. Nicaise
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Correspondence to M. Marin.

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Communicated by Andreas Öchsner.

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Marin, M., Nicaise, S. Existence and stability results for thermoelastic dipolar bodies with double porosity. Continuum Mech. Thermodyn. 28, 1645–1657 (2016). https://doi.org/10.1007/s00161-016-0503-4

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  • DOI: https://doi.org/10.1007/s00161-016-0503-4

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