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Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer

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Abstract

We study the Sobolev space well-posedness of inverse problems of determining the heat transfer coefficient contained in a Robin-type boundary condition for the convection-diffusion equations. We prove an existence and uniqueness theorem for the solutions.

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Funding

This work was supported by the Russian Science Foundation and the Government of the Khanty-Mansiysk Autonomous Okrug—YUGRA under grant no. 22-11-20031.

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Authors and Affiliations

  1. Yugra State University, Khanty-Mansiysk, 628012, Russia

    S. G. Pyatkov & V. A. Baranchuk

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  1. S. G. Pyatkov
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  2. V. A. Baranchuk
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Correspondence to S. G. Pyatkov.

Additional information

Translated from Matematicheskie Zametki, 2023, Vol. 113, pp. 90–108 https://doi.org/10.4213/mzm13573.

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Pyatkov, S.G., Baranchuk, V.A. Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer. Math Notes 113, 93–108 (2023). https://doi.org/10.1134/S0001434623010108

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  • DOI: https://doi.org/10.1134/S0001434623010108

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