The effect of a dipolar structure on the Holder stability in Green-Naghdi thermoelasticity

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Marin, Marin
Oechsner, Andreas
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2017
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Abstract

This study is concerned with the mixed initial boundary value problem for a dipolar body in the context of the thermoelastic theory proposed by Green and Naghdi. For the solutions of this problem we prove a result of Hölder’s-type stability on the supply terms. We impose middle restrictions on the thermoelastic coefficients, which are common in continuum mechanics. For the same conditions we propose a continuous dependence result with regard to the initial data.

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Continuum Mechanics and Thermodynamics

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29

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6

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Applied Mathematics not elsewhere classified

Applied Mathematics

Interdisciplinary Engineering

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