Other
Scientific paper
Nov 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979aujph..32..491l&link_type=abstract
Australian Journal of Physics, vol. 32, Nov. 1979, p. 491-502.
Other
2
Flow Theory, Isothermal Flow, Magnetic Effects, One Dimensional Flow, Shock Wave Propagation, Supernova Remnants, Critical Point, Differential Equations, Fluid Flow, Stellar Evolution, Topology
Scientific paper
The paper analyzes the equilibrium properties of one-dimensional isothermal self-similar blast waves propagating away from a plane source explosion into a surrounding medium whose density and magnetic field both vary as z exp - omega. Major results are that (1) for omega less than zero there do not exist physically acceptable self-similar solutions; (2) for omega = 0 a singular solution exists which is piecewise continuous; and (3) for omega between 1/2 and 0 the second-order differential equation describing the fluid flow behind the blast wave has movable critical points; since the line of movable critical points does not exist in the physical domain 'x' greater than zero, it is shown that the physical solution curve is smoothly continuous out to the shock. The results point to the inadequacy of previous attempts to apply the theory of self-similar flows to evolving supernova remnants without making any allowance for the dynamical influence of magnetic field pressure.
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