𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Photon transport in a time-dependent interstellar cloud

✍ Scribed by Aldo Belleni-Morante; Roberto Monaco; Sandra Pieraccini

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
302 KB
Volume
33
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

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.

📜 SIMILAR VOLUMES

A singularly perturbed problem of photon
A singularly perturbed problem of photon transport in a time-dependent region
✍ R. Riganti; F. Salvarani 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 234 KB

## Abstract The paper is devoted to the numerical study of a singularly perturbed transport linear integro‐differential equation, in a time‐dependent domain with slab geometry. After a brief summary on existence and uniqueness results for such a model, we test the error between the exact solution a

On a mathematical model of dust coagulat
On a mathematical model of dust coagulation in interstellar clouds
✍ Giovanni Borgioli; Roberto Monaco 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 110 KB

## Abstract We consider a kinetic model that takes into account the phenomena of coagulation of dust particles inside interstellar nebulae. After a detailed modeling of the system, the main aim of the paper consists in studying, for the proposed model, a Cauchy problem in an unbounded domain under

Identification of the boundary surface o
Identification of the boundary surface of an interstellar cloud from a measurement of the photon far-field
✍ A. Belleni-Morante; F. Mugelli 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 154 KB

## Abstract We study an inverse problem for photon transport in a host medium (e.g. an interstellar cloud), that occupies a bounded and strictly convex region Ω⊂R3. Under the assumption that the cross‐sections and the sources are known, we identify the boundary surface ∑ = ∂Ω(within a suitable fami

Molecular weight dependent changes with
Molecular weight dependent changes with time during latex film formation: a photon transmission study
✍ Pekcan, Önder; Arda, Ertan 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 229 KB 👁 1 views

A photon transmission method was used to probe the change with time of transparency during Ðlm formation from latex particles. Two di †erent latex Ðlms were prepared from high (HM) and low (LM) molecular weight poly(methyl methacrylate) (PMMA) particles, which were annealed at 10 min time intervals

Photon transport with a localized source
Photon transport with a localized source in locally convex spaces
✍ Meri Lisi; Silvia Totaro 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB

## Abstract This paper deals with the study of a mathematical model of photon transport in an interstellar cloud where a localized source is present. The source is represented by a Dirac delta functional. The problem is studied in the setting of locally convex spaces. By means of the theory of semi

An inverse problem for two-frequency pho
An inverse problem for two-frequency photon transport in a slab
✍ Federica Dragoni; Luigi Barletti 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB

An inverse problem of photon transport in a dusty medium with slab symmetry is studied. The problem consists in ÿnding the unknown densities of two di erent kinds of dust from measurements of radiation intensities at two di erent frequencies. Under suitable assumptions, the problem is shown to have