Theoretical justification of Ventcel's boundary conditions for a thin layer three-dimensional thermoelasticity problem

Miskolc Mathematical Notes

article

Nassim Boudrahem¹  Ahmed Berboucha¹ 

[1] Laboratoire de Mathematiques Appliquees, Faculte des Sciences Exactes, Universite de Bejaia

关键词: Ventcel’s boundary conditions;    Dirichlet conditions;    mixed problem;    thin layer;    asymptotic analysis;   

DOI  :  10.18514/MMN.2021.3679

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

In this paper, we consider a model of linear thermoelasticity for an elastic three-dimensional body with high thermal conductivity covered by a thin layer on one of its faces. We show that Ventcel's boundary conditions may be obtained, as the thickness of the rigid body goes to zero.

【 授权许可】

CC BY