Self-averaging radiative transfer for parabolic waves

Albert C. Fannjiang

doi:10.1016/j.crma.2005.11.006

Partial Differential Equations

Self-averaging radiative transfer for parabolic waves

Presented by: Philippe G. Ciarlet

Albert C. Fannjiang ¹

¹ Department of Mathematics, University of California at Davis, Davis, CA 95616, USA

Comptes Rendus. Mathématique, Volume 342 (2006) no. 2, pp. 109-114.

Abstract
Résumé

A systematic derivations of self-averaging scaling limits of parabolic waves in terms of the Wigner distribution function is presented. The convergence of the Wigner distribution to one of the six deterministic radiative transfer equations is established. One of the main contributions of this Note is a unified framework for space–time scaling limits that lead to radiative transfer.

On présente une méthode systématique de déduction des limites normalisatrices statistiquement stables d'ondes paraboliques en termes de la distribution de Wigner. On démontre la convergence de la distribution de Wigner vers une équation de transfert radiatif, parmi les six possibles. Une des principales contributions de cette Note réside dans un cadre unifié pour les limites normalisées en espace–temps menant au transfert radiatif.

Received: 2005-03-30
Accepted: 2005-11-07
Published online: 2005-12-15

DOI: 10.1016/j.crma.2005.11.006

Author's affiliations:

Albert C. Fannjiang ¹

¹ Department of Mathematics, University of California at Davis, Davis, CA 95616, USA

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     title = {Self-averaging radiative transfer for parabolic waves},
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Albert C. Fannjiang. Self-averaging radiative transfer for parabolic waves. Comptes Rendus. Mathématique, Volume 342 (2006) no. 2, pp. 109-114. doi : 10.1016/j.crma.2005.11.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.11.006/

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