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C. J. Hill, “Ueber Die Integration Logarithmisch-Rationaler Differentiale,” Journal für die Reine und Angewandte Mathematik, Vol. 1828, No. 3, 2009, pp. 101-159. doi:10.1515/crll.1828.3.101

has been cited by the following article:

• TITLE: Three Dimensional Evolution of SN 1987A in a Self-Gravitating Disk

  AUTHORS: L. Zaninetti

  KEYWORDS: Supernovae; General Supernovae; Individual (SN 1987A) ISM; Supernova Remnants

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.3 No.2, May 31, 2013

  ABSTRACT: The introduction of an exponential or power law gradient in the interstellar medium (ISM) allows to produce an asymmetric evolution of the supernova remnant (SNR) when the framework of the thin layer approximation is adopted. Unfortunately both the exponential and power law gradients for the ISM do not have a well defined physical meaning. The physics conversely is well represented by an isothermal self-gravitating disk of particles whose velocity is everywhere Maxwellian. We derived a law of motion in the framework of the thin layer approximation with a control parameter of the swept mass. The photon’s losses, which are often neglected in the thin layer approximation, are modeled trough velocity dependence. The developed framework is applied to SNR 1987A and the three observed rings are simulated.