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-semigroup is analytic. Exponential stability and impossibility of localization of the solutions in time are immediate consequences.
Analyticity of solutions to thermoviscoelastic diffusion mixtures problem in higher dimension
Aouadi M.
;Passarella F.;Tibullo V.
2020-01-01
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-semigroup is analytic. Exponential stability and impossibility of localization of the solutions in time are immediate consequences.File in questo prodotto:
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