Lisi, Meri and Totaro, Silvia: 
A Mathematical Model for a Contracting Interstellar Cloud
 Bollettino dell'Unione Matematica Italiana Serie 9 2 (2009), fasc. n.2, p. 453-466,  (English)
pdf (173 Kb), djvu (134 Kb).  | MR 2537282  | Zbl 1173.85007 
Sunto
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.
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