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

被引：137

作者：

Marin, Marin ^{[1
]}

Ochsner, Andreas ^{[2
]}

机构：

[1] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov, Romania

[2] Griffith Univ, Griffith Sch Engn, Nathan, Qld, Australia

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2017年 / 29卷 / 06期

关键词：

Dipolar bodies; Green-Naghdi thermoelasticity; G-N-type III; Holder stability; Continuous dependence; CONTINUOUS DEPENDENCE; WAVES; THERMOMECHANICS; REFLECTION; SOLIDS;

D O I：

10.1007/s00161-017-0585-7

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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 Holder'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.

引用

页码：1365 / 1374

页数：10