A Mathematical Model for a Contracting Interstellar Cloud
Meri Lisi, Silvia Totaro (2009)
Bollettino dell'Unione Matematica Italiana
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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.