Mathematics
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984japma..32..147g&link_type=abstract
IMA Journal of Applied Mathematics (ISSN 0272-4960), vol. 32, Jan.-May 1984, p. 147-173.
Mathematics
1
Evolution (Development), Gas Dynamics, H Ii Regions, Hydrogen Ions, Interstellar Gas, Boundary Value Problems, Cooling, Equations Of Motion
Scientific paper
HII regions refer to those regions of the interstellar medium which have been almost completely ionized by early-type radiating stars contained within them. The paper examines the gas dynamics associated with these objects and endeavours to follow their evolution through three stages; a formative stage where the HII region is established as an ionized medium, a second stage where the cooling of the gas through various physical processes becomes important, and finally a stage where the gas dynamical features have the strongest influence. The analysis examines the approximations which can be applied at each stage, establishing their validity and obtaining the zero-order solutions of the approximate differential equations. Comparison is made with numerical solutions of the full system of equations and agreement is good. The scaling laws appropriate to each stage are found which enable the numerical solutions to be generalized to a wide variety of conditions of the interstellar cloud gas density and ionizing photon flux. Points which need further investigation are highlighted.
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