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

[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.

[学科分类] 数学（综合）

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