The effect of a dipolar structure on the Holder stability in Green-Naghdi thermoelasticity
Author(s)
Marin, Marin
Oechsner, Andreas
Griffith University Author(s)
Year published
2017
Metadata
Show full item recordAbstract
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.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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Journal Title
Continuum Mechanics and Thermodynamics
Volume
29
Issue
6
Subject
Applied Mathematics not elsewhere classified
Applied Mathematics
Interdisciplinary Engineering