Geodesic
Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions
Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 1, pp. 100-106.

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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. 
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A. Yu. Chebotarev. Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions. Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 1, pp. 100-106. http://geodesic.mathdoc.fr/item/DVMG_2022_22_1_a9/

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[15] A. Yu. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, N. D. Botkin, K.-H. Hoffmann, “Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange”, J. Math. Anal. Appl., 460:2 (2018), 737–744 | DOI | MR | Zbl

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[20] A. Yu. Chebotarev, “Obratnaya zadacha dlya uravnenii slozhnogo teploobmena s frenelevskimi usloviyami sopryazheniya”, Zh. vychisl. matem. i matem. fiz., 61:2 (2021), 303–311 | Zbl

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