Singh, J. B.; Vishwakarma, P. R. Self-similar solutions in the theory of flare-ups in novae. I. (English) Zbl 0578.76051 Astrophys. Space Sci. 95, 99-104 (1983). 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. Cited in 1 ReviewCited in 6 Documents MSC: 76E20 Stability and instability of geophysical and astrophysical flows 85A05 Galactic and stellar dynamics 76L05 Shock waves and blast waves in fluid mechanics Keywords:flare-ups in novae; supernovae; central stellar explosions; rear flow field; similarity solutions; homothermal flows; self-gravitating gas; spherical shock-wave; non-uniform atmosphere Citations:Zbl 0578.76052 PDFBibTeX XMLCite \textit{J. B. Singh} and \textit{P. R. Vishwakarma}, Astrophys. Space Sci. 95, 99--104 (1983; Zbl 0578.76051) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.