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Self-similar solutions in the theory of flare-ups in novae. I. (English) Zbl 0578.76051

Summary: The problems of central stellar explosions under the assumption that the temperature gradient is zero in the rear flow field have been studied. Also, the similarity solutions of the field variables for the homothermal flows of a self-gravitating gas behind the spherical shock-wave propagating in a non-uniform atmosphere at rest are obtained. The total energy of the wave is taken to be time-dependent obeying a power-law.

MSC:

76E20 Stability and instability of geophysical and astrophysical flows
85A05 Galactic and stellar dynamics
76L05 Shock waves and blast waves in fluid mechanics

Citations:

Zbl 0578.76052
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References:

[1] Carrus, P. A., Fox, P. A., Haas, F., and Kopal, Z.: 1951,Astrophys. J. 113, 495.
[2] Purohit, S. C.: 1974,J. Phys. Soc. Japan 36, 288. · doi:10.1143/JPSJ.36.288
[3] Sedov, L. I.: 1959,Similarity and Dimensional Methods in Mechanics, Academic Press, London. · Zbl 0121.18504
[4] Singh, J. B.: 1982,Astrophys. Space Sci. 87, 347. · Zbl 0507.76113 · doi:10.1007/BF00648929
[5] Singh, J. B. and Vishwakarma, P. R.: 1983,Astrophys. Space Sci. 95, 105 (this issue). · Zbl 0578.76052 · doi:10.1007/BF00661160
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