Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies

Boundary value problems

C. Carstea¹  M. Marin²  S. Vlase³ 

[1] Department of Air Surveillance and Defense, “Henry Coanda” Air Force Academy, 500187, Brasov, Romania;Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036, Brasov, Romania;Department of Mechanical Engineering, Transilvania University of Brasov, 500036, Brasov, Romania;

关键词: Dipolar bodies;    Pores;    Solution with finite energy;    Existence of solution;    Uniqueness of solution;   

DOI  :  10.1186/s13661-021-01547-0

来源: Springer

【 摘 要 】

We consider the mixed problem with boundary and initial data in thermoelasticity of porous bodies with dipolar structure. By generalizing some known results developed by Dafermos in a more simple case of the classical theory of elasticity, we prove new theorems in which we address the issues regarding the uniqueness and existence of a solution with finite energy of the respective problem after we define this type of solution.

【 授权许可】

CC BY