A photon transport problem with a time-dependent point source

A. Belleni-Morante; W. Lamb; A.C. McBride

doi:10.1142/S021953050900127X

A photon transport problem with a time-dependent point source

A. Belleni-Morante, W. Lamb, A.C. McBride

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

45 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Analysis and Applications
Volume	7
Issue number	1
DOIs	https://doi.org/10.1142/S021953050900127X
Publication status	Published - 31 Jan 2009

Keywords

photon transport problems
distributional solutions

Access to Document

10.1142/S021953050900127X

strathprints013316Accepted author manuscript, 163 KB

Cite this

@article{7488905968cb4ddeb20cf3ef2931dcfc,

title = "A photon transport problem with a time-dependent point source",

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.",

keywords = "photon transport problems, distributional solutions",

author = "A. Belleni-Morante and W. Lamb and A.C. McBride",

year = "2009",

month = jan,

day = "31",

doi = "10.1142/S021953050900127X",

language = "English",

volume = "7",

pages = "1--19",

journal = "Analysis and Applications",

issn = "0219-5305",

number = "1",

}

TY - JOUR

T1 - A photon transport problem with a time-dependent point source

AU - Belleni-Morante, A.

AU - Lamb, W.

AU - McBride, A.C.

PY - 2009/1/31

Y1 - 2009/1/31

N2 - 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.

AB - 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.

KW - photon transport problems

KW - distributional solutions

U2 - 10.1142/S021953050900127X

DO - 10.1142/S021953050900127X

M3 - Article

VL - 7

SP - 1

EP - 19

JO - Analysis and Applications

JF - Analysis and Applications

SN - 0219-5305

IS - 1

ER -

A photon transport problem with a time-dependent point source

Abstract

Keywords

Access to Document

Fingerprint

Cite this