Existence theory for one-dimensional quasilinear coupled conductive-radiative flows

DOI10.1016/J.AMC.2014.02.018zbMath1334.80007OpenAlexW2005760142MaRDI QIDQ272674

F. Blanchet-Sadri, M. Dambrine

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.018

zbMATH Keywords

numerical simulationsconductive-radiative problemexistence theorysecond order quasilinear differential equation

Mathematics Subject Classification ID

Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

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Cites Work

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• A mathematical model of a slab reheating furnace with radiative heat transfer and non-participating gaseous media
• Quasilinear parabolic and elliptic equations with nonlinear boundary conditions
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Solution of the one-dimensional transport equation by the vector Green function method: error bounds and simulation
• Green’s Function Decomposition Method for Transport Equation
• Existence Theory for Radiative Flows
• Eigenvalues of the Anisotropic Transport Equation in a Slab

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