Other
Scientific paper
May 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..48..335l&link_type=abstract
Astrophysics and Space Science, vol. 48, no. 2, May 1977, p. 335-356.
Other
Astronomical Models, Detonation Waves, Isothermal Flow, Pulsars, Supernova Remnants, Astrodynamics, Conservation Equations, Dynamic Models, Galactic Evolution, Gas Flow, Shock Wave Propagation, Similarity Theorem
Scientific paper
We investigate the `equilibrium' and stability of spherically-symmetric self-similar iso- thermal blast waves with a continuous post-shock flow velocity expanding into a medium whose density varies as r - ahead of the blast wave, and which are powered by a central source (a pulsar) whose power output varies with time as t~3. We show that: (i) for (0<0, no physically acceptable self-similar solution exists; (ii) for co>3, no solution exists since the mass swept up by the blast wave is infinite; (iii) o must exceed zero in order that the blast wave expand with time, but ~ <2 in order that the central source injects a finite total energy into the blast wave; (iv) for 3> co~j~(q~')> CD> COmax(47)> 0, where U)min(~) = 2[5 - ~ + (10 + 4~ - 2~2)h/2I2[2 + (10 + 4~ - 2~2)hI2]_2, (Ornax(~P) = 2[5 - - (10 + 4~p - (10 + 4~ - 2p2)112)2
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