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

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

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.

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Veröffentlicht in:Computational mathematics and mathematical physics 2023-03, Vol.63 (3), p.441-449
1. Verfasser: Chebotarev, A. Yu
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Computational Mathematics and Numerical Analysis
Mathematical Physics
Mathematics
Mathematics and Statistics
Radiative heat transfer
Refractivity
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Zusammenfassung: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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542523030053