A PHOTON TRANSPORT PROBLEM WITH A TIME-DEPENDENT POINT SOURCE-Reference-Cited by-同舟云学术

A PHOTON TRANSPORT PROBLEM WITH A TIME-DEPENDENT POINT SOURCE

Published:2009-01 Issue:01 Volume:07 Page:1-19
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

BELLENI-MORANTE A.¹,LAMB W.²,MCBRIDE A. C.²

Affiliation:

1. Dipartimento di Ingegneria Civile, Universita' di Firenze, Via S. Marta 3, 50139 Firenze, Italy

2. Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow, G1 1XH, UK

Abstract

We consider a time-dependent problem of photon transport in an interstellar cloud with a point photon source modeled by a Dirac δ functional. The existence of a unique distributional solution to this problem is established by using the theory of continuous semigroups of operators on locally convex spaces coupled with a constructive approach for producing spaces of generalized functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021953050900127X

Reference18 articles.

1. PHOTON TRANSPORT PROBLEMS INVOLVING A POINT SOURCE

2. Astrophysics of the Diffuse Universe

3. The Physics of the Interstellar Medium

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