The Scaling laws Problem in Radiating Hydrodynamics

Details The Scaling laws Problem in Radiating Hydrodynamics The Scaling laws Problem in Radiating Hydrodynamics

Jul 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007sf2a.conf..473f&link_type=abstract

SF2A-2007: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics held in Grenoble, France, July

Astronomy and Astrophysics

Astrophysics

Scientific paper

In this paper we present a rigorous and systematic method, based on the Lie group theory, which allows to study the similarity properties, to establish the scaling laws and to obtain self-similar solutions. We will show that it is possible to unify different problems through this method. Moreover, we derive, by local considerations, a complete equivalence between laboratory systems and astrophysical objects. We examine, in details, the case of optically thin radiating fluids and consider the example of radiating shock in magnetic cataclysmic variables.

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