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.

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.

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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