Advances in Differential Equations

Global existence of smooth solutions for radiative transfer equations

Christian Dogbé

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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

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

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


Dogbé, Christian. Global existence of smooth solutions for radiative transfer equations. Adv. Differential Equations 12 (2007), no. 2, 201--219.

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