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.
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.
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@article{CRMATH_2006__342_2_109_0, author = {Fannjiang, Albert C.}, title = {Self-averaging radiative transfer for parabolic waves}, journal = {Comptes Rendus. Math\'ematique}, pages = {109--114}, publisher = {Elsevier}, volume = {342}, number = {2}, year = {2006}, doi = {10.1016/j.crma.2005.11.006}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2005.11.006/} }
TY - JOUR AU - Fannjiang, Albert C. TI - Self-averaging radiative transfer for parabolic waves JO - Comptes Rendus. Mathématique PY - 2006 SP - 109 EP - 114 VL - 342 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2005.11.006/ DO - 10.1016/j.crma.2005.11.006 LA - en ID - CRMATH_2006__342_2_109_0 ER -
%0 Journal Article %A Fannjiang, Albert C. %T Self-averaging radiative transfer for parabolic waves %J Comptes Rendus. Mathématique %D 2006 %P 109-114 %V 342 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2005.11.006/ %R 10.1016/j.crma.2005.11.006 %G en %F CRMATH_2006__342_2_109_0
Fannjiang, Albert C. Self-averaging radiative transfer for parabolic waves. Comptes Rendus. Mathématique, Tome 342 (2006) no. 2, pp. 109-114. doi : 10.1016/j.crma.2005.11.006. http://www.numdam.org/articles/10.1016/j.crma.2005.11.006/
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