A Mathematical Model for a Contracting Interstellar Cloud

Meri Lisi; Silvia Totaro

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 2, page 453-466
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Lisi, Meri, and Totaro, Silvia. "A Mathematical Model for a Contracting Interstellar Cloud." Bollettino dell'Unione Matematica Italiana 2.2 (2009): 453-466. <http://eudml.org/doc/290574>.

@article{Lisi2009,
abstract = {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.},
author = {Lisi, Meri, Totaro, Silvia},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {453-466},
publisher = {Unione Matematica Italiana},
title = {A Mathematical Model for a Contracting Interstellar Cloud},
url = {http://eudml.org/doc/290574},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Lisi, Meri
AU - Totaro, Silvia
TI - A Mathematical Model for a Contracting Interstellar Cloud
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/6//
PB - Unione Matematica Italiana
VL - 2
IS - 2
SP - 453
EP - 466
AB - 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.
LA - eng
UR - http://eudml.org/doc/290574
ER -

References

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  1. BARNARD, E. E., Catalogue of 349 Dark Objects in the Sky. In A Photographic Atlas of selected Regions in the Milky Way, Washington, DC, 1927. 
  2. BELLENI MORANTE, A. - MCBRIDE, A. C., Applied Nonlinear Semigroups, John Wiley and Sons, Chichester, 1999. Zbl0926.47043MR1654473
  3. BELLENI MORANTE, A. - MUGELLI, F., 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. Zbl1051.35104MR2070219DOI10.1002/mma.493
  4. DYSON, J. E. - WILLIAMS, D. A., The Physics of the Interstellar Medium, Institute of Physics Publishing (Bristol, 1997). Zbl1090.85500
  5. LISI, M. - TOTARO, S., Inverse problems related to photon transport in an interstellar cloud, Transp. Theory Stat. Phys., 32 (2003), 327-345. Zbl1029.82040MR2014721DOI10.1081/TT-120024767
  6. LISI, M. - TOTARO, S., Photon transport with a localized source in locally convex spaces, Math. Meth. Appl. Sci., 29 (2006), 1019-1033. Zbl1107.46050MR2228353DOI10.1002/mma.713
  7. MESSIER, C., Catalog of Nebulae and Star Clusters. Connaissance des Temps, 1781. 
  8. OSTERBROCK, D. E. - FERLAND, G. J., Astrophysics of Gaseous Nebulae and Active Galactic Nuclei, University Science Book (U.S.A., 2005). 
  9. POMRANING, G. C., The Equation of Radiation Hydrodynamics, Pergamon Press (Oxford, 1973). 
  10. PRILEPKO, A. I. - ORLOVSKY, D. G. - VASIN, I. A., Methods for Solving Inverse Problems in Mathematical Physics, Marcel Dekker (New York, 2000). Zbl0947.35173MR1748236
  11. PRILEPKO, A. I. - VOLKOV, N. P., Inverse problems of finding parameters of a non-stationary transport equation from integral overdeterminations, Differ. Equations, 23 (1987), 91-101. Zbl0662.35120MR884787
  12. SYDYKOV, G. M. - SARIEV, A. D., On inverse problems for a time-dependent transport equation in plane-parallel geometry, Differ. Urain., 27 (1991), 1617-1625. Zbl0734.45007MR1140559
  13. SPITZER, L., Physical Processes in the Interstellar Medium, John Wiley and Sons (Toronto, 1978). 

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