Qualitative results in thermoelasticity of type III for dipolar bodies

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Marin M.¹  Vlase S.²  Öchsner A.³ 

[1] Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093Brasov, Romania;Department of Mechanical Engineering, Transilvania University of Brasov, 500093Brasov, Romania;Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, 73728Esslingen, Germany;

关键词: thermoelasticity of type iii;    dipolar body;    uniqueness of solution;    gronwall inequality;    continuous dependence;    74f05;   

DOI  :  10.2478/auom-2021-0009

来源: DOAJ

【 摘 要 】

In our study we formulated the mixed initial boundary value problem corresponding to the thermoelasticity of type III for bodies with dipolar structure. In main section we approached four qualitative results regarding the solutions for this problem. In two of these (in the first two theorems) we obtained two results of uniqueness, proved in different ways. Also, we proven two results which show that the solutions of the considered problem depend continuously with respect to the supply terms. We use different procedures in the two theorems on continuous dependence, but we essentially rely on the auxiliary results from Section 3 and Gronwall-type inequalities. It is important to emphasize that all results are obtained by imposing on the basic equations and basic conditions, average constraints that are common in the mechanics of continuous solids.

【 授权许可】

Unknown