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Photon transport in a time‐dependent interstellar cloud
Author(s) -
BelleniMorante Aldo,
Monaco Roberto,
Pieraccini Sandra
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1274
Subject(s) - cloud computing , photon , interstellar cloud , function (biology) , set (abstract data type) , distribution (mathematics) , physics , distribution function , inverse problem , inverse , mathematics , interstellar medium , mathematical analysis , quantum mechanics , geometry , computer science , evolutionary biology , galaxy , biology , programming language , operating system
Photon transport is studied in an interstellar cloud occupying a time‐dependent region V ( t )⊂ℝ 3 . First, under the assumption that the surface ∂ V ( t ) is a known function of t ∈[0, t max ], a direct problem is set and proof of well‐posedness is sketched. Then, an inverse problem is examined, under the assumptions that the time behaviour of ∂ V ( t ) is unknown and the photon distribution function is measured at a location far from the cloud. Some numerical experiments are then provided. Copyright © 2010 John Wiley & Sons, Ltd.