## 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 in
A singularly perturbed problem of photon transport in a time-dependent region
✍ Scribed by R. Riganti; F. Salvarani
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 234 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.313
No coin nor oath required. For personal study only.
✦ Synopsis
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 and its quasi‐static approximation, which satisfies a simpler equation. Copyright © 2002 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
## Abstract The unique global existence of a solution to nonstationary Navier–Stokes system with prescribed nonzero flux __F__(__t__) in an infinite three‐dimensional pipe is proved. The obtained solution remains close to the corresponding nonstationary Poiseuille flow. Moreover, it converges to th
Modeling thermal energy transfer in planetary regoliths involves treating four processes: visible radiative transfer, thermal radiative transfer, conductive transfer, and heat storage. We explicitly treat these processes while considering time-dependent problems, and we apply this model to the regol