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Inhomogeneous Boundary Value Problem for Complex Heat Transfer Equations with Fresnel Matching Conditions

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Abstract

We consider an inhomogeneous boundary value problem for a system of semilinear elliptic equations modeling radiative heat transfer with Fresnel matching conditions on the surfaces of discontinuity of the refractive index. The unique solvability of the boundary value problem is proved without requiring the initial data to be small.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-01-00113.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia

    A. Yu. Chebotarev

  2. Far Eastern Federal University, Vladivostok, 690090, Russia

    A. Yu. Chebotarev

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  1. A. Yu. Chebotarev
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Correspondence to A. Yu. Chebotarev.

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Translated by V. Potapchouck

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Chebotarev, A.Y. Inhomogeneous Boundary Value Problem for Complex Heat Transfer Equations with Fresnel Matching Conditions. Diff Equat 56, 1628–1633 (2020). https://doi.org/10.1134/S00122661200120113

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  • DOI: https://doi.org/10.1134/S00122661200120113

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