Solvability of a Nonstationary Problem of Radiative–Conductive Heat Transfer in a System of Semi-transparent Bodies

A. Amosov ()
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A. Amosov: National Research University “Moscow Power Engineering Institute”

Chapter Chapter 1 in Integral Methods in Science and Engineering, 2015, pp 1-13 from Springer

Abstract: Abstract We consider a nonstationary nonlinear initial- boundary value problem describing radiative-conductive heat transfer in a system of semitransparent bodies. To describe the transport of energy by radiation we use the radiative transfer equation with boundary conditions of reflection and refraction. We establish the existence and uniqueness of a solution and prove a comparison theorem.

Keywords: nonstationary nonlinear initial- boundary value problem; radiative-conductive heat transfer; radiative transfer equation with boundary conditions of reflection and refraction; existence and uniqueness of a solution; comparison theorem. (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16727-5_1

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DOI: 10.1007/978-3-319-16727-5_1

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