Relativistic blast waves in two dimensions. I - The adiabatic case

Details Relativistic blast waves in two dimensions. I - The adiabatic case Relativistic blast waves in two dimensions. I - The adiabatic case

Nov 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...233..831s&link_type=abstract

Astrophysical Journal, Part 1, vol. 233, no. 3, Nov. 1, 1979, p. 831-850.

Astronomy and Astrophysics

Astrophysics

30

Hydrodynamics, Quasars, Relativistic Effects, Shock Wave Propagation, Adiabatic Conditions, Approximation, Partial Differential Equations

Scientific paper

Approximate solutions are presented for the dynamical evolution of strong adiabatic relativistic blast waves which result from a point explosion in an ambient gas in which the density varies both with distance from the explosion center and with polar angle in axisymmetry. Solutions are analytical or quasi-analytical for the extreme relativistic case and numerical for the arbitrarily relativistic case. Some general properties of nonplanar relativistic shocks are also discussed, including the incoherence of spherical ultrarelativistic blast-wave fronts on angular scales greater than the reciprocal of the shock Lorentz factor, as well as the conditions for producing blast-wave acceleration.

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