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Continuum Mechanics and Thermodynamics

, Volume 29, Issue 6, pp 1365–1374 | Cite as

The effect of a dipolar structure on the Hölder stability in Green–Naghdi thermoelasticity

  • Marin MarinEmail author
  • Andreas Öchsner
Original Article

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.

Keywords

Dipolar bodies Green–Naghdi thermoelasticity G–N-type III Hölder stability Continuous dependence 

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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceTransilvania University of BrasovBrasovRomania
  2. 2.Griffith School of EngineeringGriffith UniversityNathanAustralia

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