Other
Scientific paper
Jan 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..53...21l&link_type=abstract
Astrophysics and Space Science, vol. 53, no. 1, Jan. 1978, p. 21-37.
Other
1
Detonation Waves, Flow Stability, Isothermal Flow, One Dimensional Flow, Stellar Atmospheres, Two Dimensional Flow, Astronomical Models, Mathematical Models, Perturbation Theory, Supernova Remnants
Scientific paper
One-dimensional self-similar isothermal flow behind a blast wave propagating in a medium whose density varies with distance is investigated for the cases of one-dimensional and two-dimensional flow. The isothermal flow model is adopted as an alternative to adiabatic models of self-similar flow, which neglect heat flux. The topology of the one-dimensional flow solutions, the singularities, and the influence of boundary conditions are discussed; the instability of the isothermal blast waves against nonself-similar perturbations is also considered. The number of critical points in the two-dimensional solutions is found to vary from the number in the one-dimensional problem.
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