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Hu, Y.P., Zeng, H.A., Fang, J., Hou, J.P. and Xu, J.W. (2019) Theoretical Σ-D Relations for Shell-Type Galactic Supernova Remnants. Journal of Astrophysics and Astronomy, 40, Article No. 7.
https://doi.org/10.1007/s12036-019-9574-5

has been cited by the following article:

• TITLE: Energy Conservation in the Thin-Layer Approximation: V. The Surface Brightness in Supernova Remnants

  AUTHORS: Lorenzo Zaninetti

  KEYWORDS: ISM: Supernova Remnants, Radio Continuum: Galaxies

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.11 No.2, June 7, 2021

  ABSTRACT: Two new equations of motion for a supernova remnant (SNR) are derived in the framework of energy conservation for the thin-layer approximation. The first one is based on an inverse square law for the surrounding density and the second one on a non-cubic dependence of the swept mass. Under the assumption that the observed radio-flux scales as the flux of kinetic energy, two scaling laws are derived for the temporal evolution of the surface brightness of SNRs. The astrophysical applications cover two galactic samples of surface brightness and an extragalactic one.