Radiative heating of a glass plate

DOI10.5802/msia.6zbMath1328.35240OpenAlexW2159241710WikidataQ114013320 ScholiaQ114013320MaRDI QIDQ745654

Dominique Lochegnies, Luc Paquet, Raouf El Cheikh, Norbert Siedow

Publication date: 14 October 2015

Published in: MathematicS In Action (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/msia.6

zbMATH Keywords

radiative transfer equationSchauder theoremVitali theoremelementary pencil of raysglass platenonlinear heat-conduction equationPlanck functionStampacchia truncation method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) PDEs in connection with optics and electromagnetic theory (35Q60) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (4)

Existence and uniqueness of solution of a thermoviscoelastic equation with time-dependent coefficients ⋮ Control of the radiative heating of a glass plate ⋮ Radiative heating of a glass plate: the semi-discrete problem (second revision) ⋮ Control of the radiative heating of a semi-transparent body

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