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A&A 419, 419-423 (2004)
DOI: 10.1051/0004-6361:20035950
Analytic solutions for the evolution of radiative supernova remnants
R. Bandiera1 and O. Petruk21 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: petruk@arcetri.astro.it
(Received 12 December 2003 / Accepted 10 February 2004 )
Abstract
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
Offprint request: R. Bandiera, bandiera@arcetri.astro.it
© ESO 2004
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