Geodesic
A Mathematical Model for a Contracting Interstellar Cloud
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 2, pp. 453-466.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper, we study a one-dimensional mathematical model for a contracting interstellar cloud, with a star inside. Existence and uniqueness of a positive solution are proved by means of the fixed point theorem. A time discretization procedure is given and the case of an expanding interstellar cloud is also considered. 
@article{BUMI_2009_9_2_2_a10,
     author = {Lisi, Meri and Totaro, Silvia},
     title = {A {Mathematical} {Model} for a {Contracting} {Interstellar} {Cloud}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {453--466},
     publisher = {mathdoc},
     volume = {Ser. 9, 2},
     number = {2},
     year = {2009},
     zbl = {1173.85007},
     mrnumber = {2537282},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_2_a10/}
}
TY  - JOUR
AU  - Lisi, Meri
AU  - Totaro, Silvia
TI  - A Mathematical Model for a Contracting Interstellar Cloud
JO  - Bollettino della Unione matematica italiana
PY  - 2009
SP  - 453
EP  - 466
VL  - 2
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_2_a10/
LA  - en
ID  - BUMI_2009_9_2_2_a10
ER  - 
%0 Journal Article
%A Lisi, Meri
%A Totaro, Silvia
%T A Mathematical Model for a Contracting Interstellar Cloud
%J Bollettino della Unione matematica italiana
%D 2009
%P 453-466
%V 2
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_2_a10/
%G en
%F BUMI_2009_9_2_2_a10
Lisi, Meri; Totaro, Silvia. A Mathematical Model for a Contracting Interstellar Cloud. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 2, pp. 453-466. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_2_a10/

[1] E. E. Barnard, Catalogue of 349 Dark Objects in the Sky. In A Photographic Atlas of selected Regions in the Milky Way, Washington, DC, 1927.

[2] A. Belleni Morante - A. C. Mcbride, Applied Nonlinear Semigroups, John Wiley and Sons, Chichester, 1999. | MR | Zbl

[3] A. Belleni Morante - F. Mugelli, Identification of the boundary surface of an interstellar cloud from a measurement of the photon far field, Math. Meth. Appl. Sci., 27 (2004), 627-642. | DOI | MR | Zbl

[4] J. E. Dyson - D. A. Williams, The Physics of the Interstellar Medium, Institute of Physics Publishing (Bristol, 1997). | Zbl

[5] M. Lisi - S. Totaro, Inverse problems related to photon transport in an interstellar cloud, Transp. Theory Stat. Phys., 32 (2003), 327-345. | DOI | MR | Zbl

[6] M. Lisi - S. Totaro, Photon transport with a localized source in locally convex spaces, Math. Meth. Appl. Sci., 29 (2006), 1019-1033. | DOI | MR | Zbl

[7] C. Messier, Catalog of Nebulae and Star Clusters. Connaissance des Temps, 1781.

[8] D. E. Osterbrock - G. J. Ferland, Astrophysics of Gaseous Nebulae and Active Galactic Nuclei, University Science Book (U.S.A., 2005).

[9] G. C. Pomraning, The Equation of Radiation Hydrodynamics, Pergamon Press (Oxford, 1973).

[10] A. I. Prilepko - D. G. Orlovsky - I. A. Vasin, Methods for Solving Inverse Problems in Mathematical Physics, Marcel Dekker (New York, 2000). | MR | Zbl

[11] A. I. Prilepko - N. P. Volkov, Inverse problems of finding parameters of a non-stationary transport equation from integral overdeterminations, Differ. Equations, 23 (1987), 91-101. | MR | Zbl

[12] G. M. Sydykov - A. D. Sariev, On inverse problems for a time-dependent transport equation in plane-parallel geometry, Differ. Urain., 27 (1991), 1617-1625. | MR | Zbl

[13] L. Spitzer, Physical Processes in the Interstellar Medium, John Wiley and Sons (Toronto, 1978).