Advances in Differential Equations

Global existence of smooth solutions for radiative transfer equations

Christian Dogbé

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Abstract

We study a nonlinear hyperbolic system of balance laws that arises from an entropy-based moment closure of transfer radiative equations, and that involves a small parameter $\epsilon$. Under physical assumptions, global existence for Cauchy problems with smooth and small data is established through the energy method.

Article information

Source
Adv. Differential Equations Volume 12, Number 2 (2007), 201-219.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867475

Mathematical Reviews number (MathSciNet)
MR2294503

Zentralblatt MATH identifier
1166.35348

Subjects
Primary: 35F25: Initial value problems for nonlinear first-order equations
Secondary: 35B25: Singular perturbations 35L60: Nonlinear first-order hyperbolic equations 82C40: Kinetic theory of gases 85A25: Radiative transfer

Citation

Dogbé, Christian. Global existence of smooth solutions for radiative transfer equations. Adv. Differential Equations 12 (2007), no. 2, 201--219. https://projecteuclid.org/euclid.ade/1355867475.


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