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
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
收藏
页码:1365 / 1374
页数:10
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