On Some Classes of Inverse Problems of Recovering the Heat Transfer Coefficient in Stratified Media

被引：0

作者：

V. A. Belonogov

S. G. Pyatkov

机构：

[1] Yugra State University,Institute of Digital Economics

[2] Sobolev Institute of Mathematics,undefined

[3] Academy of Sciences of the Republic of Sakha (Yakutia),undefined

来源：

Siberian Mathematical Journal | 2022年 / 63卷

关键词：

inverse problem; transmission problem; heat transfer coefficient; parabolic equation; heat and mass transfer; 517.95;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the well-posedness, in Sobolev spaces, of the inverse problem of recovering the heat transfer coefficient at the interface in the transmission condition of the imperfect contact type. The existence and uniqueness theorem are exhibited. The method is constructive and the approach allows us to develop some numerical methods for solving the problem. The proof relies on a priori estimates and the fixed-point theorem.

引用

页码：206 / 223

页数：17

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