Analytic solutions for the evolution of radiative supernova remnants
Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, 50125 Firenze, Italy
2 Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, 50125 Firenze, Italy Institute for Applied Problems in Mechanics and Mathematics, Naukova St. 3-b Lviv 79000, Ukraine e-mail: firstname.lastname@example.org
Corresponding author: R. Bandiera, email@example.com
Accepted: 10 February 2004
We present the general analytic solution for the evolution of radiative supernova remnants in a uniform interstellar medium, under thin-shell approximation. This approximation is shown to be very accurate approach to this task. For a given set of parameters, our solution closely matches the results of numerical models, showing a transient in which the deceleration parameter reaches a maximum value of 0.33, followed by a slow convergence to the asymptotic value 2/7. Oort (1951) and McKee & Ostriker (1977) analytic solutions are discussed, as special cases of the general solution we have found.
Key words: ISM: supernova remnants / hydrodynamics / methods: analytical
© ESO, 2004