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Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport

Sandra PieracciniRiccardo RigantiAldo Belleni-Morante — 2007

Bollettino dell'Unione Matematica Italiana

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.

Analisi stocastica del moto di una lamina piana in flusso molecolare

Nicola BellomoRiccardo RigantiMaria Teresa Vacca — 1980

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Some physical and mathematical problems related to the aerodynamics and dynamics of a flat plate in a molecular flow are studied in this paper. The considered system is a stochastic one since the initial conditions and some of the identification parameters are assumed to be given as constant random variables. The stochastic equation of the dynamics of the system is mathematically studied and particularized in a pertinent application.

Analisi stocastica del moto di una lamina piana in flusso molecolare

Nicola BellomoRiccardo RigantiMaria Teresa Vacca — 1980

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Some physical and mathematical problems related to the aerodynamics and dynamics of a flat plate in a molecular flow are studied in this paper. The considered system is a stochastic one since the initial conditions and some of the identification parameters are assumed to be given as constant random variables. The stochastic equation of the dynamics of the system is deduced in this note, and will be mathematically studied and particularized in a pertinent application proposed in the second note.

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