About finite energy solutions in thermoelasticity of micropolar bodies with voids

Boundary Value Problems

Andreas Öchsner¹  Marin Marin²  Adina Chirila²  Sorin Vlase³ 

[1] 0000 0001 0338 9080, grid.448696.1, Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen, Germany;0000 0001 2159 8361, grid.5120.6, Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, Romania;0000 0001 2159 8361, grid.5120.6, Department of Mechanical Engineering, Transilvania University of Brasov, Brasov, Romania;

关键词: Micopolar bodies;    Voids;    Finite energy solution;    Existence of solution;    74A15;    74F05;    35Q74;    35Q79;   

DOI  :  10.1186/s13661-019-1203-3

来源: publisher

【 摘 要 】

Our study is dedicated to the problem with initial and boundary conditions in the theory of thermoelasticity for micropolar materials with pores. We obtain some results regarding the existence and uniqueness of a finite energy solution of this mixed problem by generalizing the corresponding results obtained by Dafermos in the context of classical elasticity. In some specific conditions we prove some properties regarding the possibility to control the finite energy solution.

【 授权许可】

CC BY