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_453_0, author = {Meri Lisi and Silvia Totaro}, title = {A Mathematical Model for a Contracting Interstellar Cloud}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {2}, year = {2009}, pages = {453-466}, zbl = {1173.85007}, mrnumber = {2537282}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_2_453_0} }
Lisi, Meri; Totaro, Silvia. A Mathematical Model for a Contracting Interstellar Cloud. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 453-466. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_2_453_0/
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