Inhomogeneous Problem for Quasi-Stationary Equations of Complex Heat Transfer with Reflection and Refraction Conditions

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Abstract

The paper considers an inhomogeneous initial-boundary value problem for a nonlinear parabolic-elliptic system simulating radiative heat transfer with Fresnel matching conditions on the surfaces of discontinuity of the refractive index. Nonlocal-in-time unique solvability of the problem is proved.

About the authors

A. Yu. Chebotarev

Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Author for correspondence.
Email: cheb@iam.dvo.ru
690041, Vladivostok, Russia

References

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