The time-dependent intensity of a UV -photon source, located inside an interstellar cloud, is determined by formulating and solving an inverse problem for the integro-differential transport equation of photons in a one-dimensional slab. Starting from a discretizazion of the direct problem, an iterative procedure is used to compute the values of the source intensity at increasing values of time, and it is applied in some numerical simulations, whose results are presented and discussed.
Si studia un problema inverso unidimensionale per un'equazione integrodiffernziale di una sorgente di differenziale del trasporto di fotoni, e si determinano le proprietà di una sorgente di fotoni ultravioletti immersa in una nube interstellare. Un procedimento iterativo che si basa sulla discretizzazione spazio-temporale del problema diretto, porta alla determinazione della intensità della sorgente e delle sue variazioni al crescere del tempo.
@article{BUMI_2007_8_10B_1_195_0,
author = {Sandra Pieraccini and Riccardo Riganti and Aldo Belleni-Morante},
title = {Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {10-A},
year = {2007},
pages = {195-211},
zbl = {1178.45013},
mrnumber = {2310964},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_1_195_0}
}
Pieraccini, Sandra; Riganti, Riccardo; Belleni-Morante, Aldo. Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 195-211. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_1_195_0/
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