On the temperature distribution of a body heated by radiation
type: Item
instance of: scholarly article
title: On the temperature distribution of a body heated by radiation
zbMATH Open document ID: 1543.35228
author: Jin Woo Jang
author: Juan J. Velázquez
published in: SIAM Journal on Mathematical Analysis
publication date: 2024-06-25T00:00:00Z
review text: This work explores a hierarchy of models for a body's temperature regime when the respective thermal processes are restricted by radiative ones only. Such processes include emission, absorption and scattering but not heat conduction and convection. To operate with the well-defined boundary problem, the body's shape is taken as a convex bounded domain. Under certain assumptions, the well-posedness of the equation with scattering, for the grey and non-grey cases with emission, and existence for the case with both scattering and emission. The main strategy consists of reducing equations to a system of ``nonlocal'' elliptic operators with an external source.
reviewed by: Eugene Postnikov
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35Q20
Mathematics Subject Classification ID: 85A25
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 80A21
Mathematics Subject Classification ID: 81V80
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7870727
zbMATH Keywords: radiative transfer equation
zbMATH Keywords: stationary solutions
zbMATH Keywords: local thermodynamic equilibrium
zbMATH Keywords: nonlocal elliptic equations
MaRDI profile type: Publication
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DOI: 10.1137/23M1580917
description: scientific article; zbMATH DE number 7870727