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. 
@article{DVMG_2022_22_1_a9,
     author = {A. Yu. Chebotarev},
     title = {Initial-boundary value problem for the equations of radiative heat transfer with {Fresnel} conjugation conditions},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {100--106},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2022_22_1_a9/}
}
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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/