Integral inequalities in the dynamics of a gravitating gas

Details Integral inequalities in the dynamics of a gravitating gas Integral inequalities in the dynamics of a gravitating gas

Oct 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980izssr......169g&link_type=abstract

Akademiia Nauk SSSR, Izvestiia, Mekhanika Zhidkosti i Gaza, Sept.-Oct. 1980, p. 169-173. In Russian.

Astronomy and Astrophysics

Astronomy

Gas Dynamics, Gravitational Collapse, Shock Wave Propagation, Adiabatic Flow, Astronomical Models, Differential Equations, Ideal Gas, Integral Equations, Wave Equations

Scientific paper

In the present paper, the spherically symmetric problem of the adiabatic motion of a gravitating perfect gas in the presence of a shock wave, generated by a localized explosion or nonuniform gravitational collapse, is analyzed within the framework of Newtonian mechanics. A system of integrodifferential inequalities which yield the law of shock-wave motion from the given initial state of the gas is derived

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