Far Eastern Mathematical Journal

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Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions

Chebotarev A. Yu.

2022, issue 1, P. 100-106 DOI: https://doi.org/10.47910/FEMJ202210

Abstract

Non-local in time, unique solvability of an inhomogeneous initial-boundary value problem for a nonlinear system simulating complex heat transfer with conditions of reflection and refraction on the discontinuity surfaces of the refractive index is proved.

Keywords: quasi-static equations of complex heat transfer, Fresnel conjugation conditions, inhomogeneous initial-boundary value problem, non-local unique solvability

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References

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