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Acta Mechanica

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17.12.2019 | Original Paper

Analyticity of solutions to thermoviscoelastic diffusion mixtures problem in higher dimension

verfasst von: Moncef Aouadi, Francesca Passarella, Vincenzo Tibullo

Erschienen in: Acta Mechanica | Ausgabe 3/2020

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Abstract

In this paper, we consider the linear theory of binary mixtures for thermoviscoelastic diffusion materials derived by Aouadi et al. (J Therm Stress 41:1414–1431, 2018). We establish the necessary and sufficient conditions to get a dissipation inequality for isotropic centrosymmetric materials. With the help of the semigroup theory of linear operators, we prove the well posedness of the higher-dimensional problem. Then, we show that the associated \(C_0\)-semigroup is analytic. Exponential stability and impossibility of localization of the solutions in time are immediate consequences.

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Titel: Analyticity of solutions to thermoviscoelastic diffusion mixtures problem in higher dimension
verfasst von: Moncef Aouadi
Francesca Passarella
Vincenzo Tibullo
Publikationsdatum: 17.12.2019
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 3/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-019-02572-y

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