This paper deals with a diffraction type problem for equations of complex, radiative-conductive, heat transfer in a four-layer medium, modeling skin. The radiative heat transfer is described using the so-called diffusion P-1 approximation, and Fresnel matching conditions are imposed at the layer interfaces. Thus, a problem of conjugation is under consideration. The unique solvability of this highly nonlinear problem is proven. Numerical simulations related to the penetration of solar radiation into skin are performed.     «

This paper deals with a diffraction type problem for equations of complex, radiative-conductive, heat transfer in a four-layer medium, modeling skin. The radiative heat transfer is described using the so-called diffusion P-1 approximation, and Fresnel matching conditions are imposed at the layer interfaces. Thus, a problem of conjugation is under consideration. The unique solvability of this highly nonlinear problem is proven. Numerical simulations related to the penetration of solar radiation i...     »