不完全接触条件下传热问题传热系数的恢复

Q4 Mathematics

Chelyabinsk Physical and Mathematical Journal Pub Date : 2023-09-18 DOI:10.47475/2500-0101-2023-8-3-331-350

S.G. Pyatkov, V.A. Belonogov

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引用次数: 0

摘要

考虑不完全接触型传热条件下的抛物型方程组和Sobolev空间中界面处传热系数反演问题的适定性问题。在数据的一定条件下，证明了问题存在唯一解。该证明采用了先验估计和不动点定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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RECOVERING OF THE HEAT TRANSFER COEFFICIENT IN TRANSMISSION PROBLEMS WITH IMPERFECT CONTACT CONDITIONS

We consider systems of parabolic equations and well-posedness questions in Sobolev spaces of inverse problems of recovering the heat transfer coefficients at the interface which are included in the transmission condition of the imperfect contact type. Under certain conditions on the data, it is demonstrated that there exists a unique solution to the problem. The proof employs a priori estimates and the fixed-point theorem.

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来源期刊

Chelyabinsk Physical and Mathematical Journal Mathematics-Mathematics (all)

CiteScore

0.90

自引率

0.00%

发文量