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Journal ArticleDOI

Fluid dynamics of relativistic blast waves

Roger Blandford, +1 more
- 01 Aug 1976 - 
- Vol. 19, Iss: 8, pp 1130-1138
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TLDR
In this paper, a fluid dynamical treatment of an ultra-relativistic spherical blast wave enclosed by a strong shock is presented, and a simple similarity solution describing the explosion of a fixed amount of energy in a uniform medium is derived, and generalized to include cases in which power is supplied by a central source and the density of the external medium varies with radius.
Abstract
A fluid dynamical treatment of an ultra‐relativistic spherical blast wave enclosed by a strong shock is presented. A simple similarity solution describing the explosion of a fixed amount of energy in a uniform medium is derived, and this is generalized to include cases in which power is supplied by a central source and the density of the external medium varies with radius. Radiative shocks, in which the escaping photons carry away momentum as well as energy, are also discussed. Formulas that interpolate between the non‐ and ultra‐relativistic limits are proposed.

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Citations
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Journal ArticleDOI

Hydrodynamics of a Relativistic Fireball: the Complete Evolution

TL;DR: In this article, the authors study the evolution of an adiabatic relativistic fireball expanding into a cold uniform medium, and compare the numerical results with simplified analytical estimates.
Journal ArticleDOI

Analytic expressions for the surface brightness profile of gamma-ray burst afterglow images

TL;DR: In this paper, the authors derived analytic expressions for the afterglow image in power-law segments (PLSs) of the after-glow synchrotron spectrum in which the emission originates from a very thin layer just behind the shock, while simple semi-analytic expressions are derived for the remaining PLSs where the emission arises from the bulk of the shocked fluid.
Journal ArticleDOI

Emission from Bow Shocks of Beamed Gamma-Ray Bursts

TL;DR: In this article, it was shown that the emitted flux from a bow shock may dominate over the direct emission from the jet for lines of sight which are outside the angular radius of the jet emission, theta.
Journal ArticleDOI

Optical synchrotron precursors of radio hypernovae

TL;DR: In this article, the authors examined the radio synchrotron counterparts of low-luminosity gamma-ray bursts and relativistic supernovae (SNe) and found that they can be powered by spherical hypernova (HN) explosions.
References
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Journal ArticleDOI

The Formation of a Blast Wave by a Very Intense Explosion. I. Theoretical Discussion

TL;DR: This paper has now been declassified, and though it has been superseded by more complete calculations, it seems appropriate to publish it as it was first written, without alteration, except for the omission of a few lines, the addition of this summary, and a comparison with some more recent experimental work as discussed by the authors.
Journal ArticleDOI

Relativistic Rankine-Hugoniot Equations

TL;DR: In this paper, the relativistic form of the Rankine-Hugoniot equations are derived and it is shown that as a consequence of the inequality mentioned earlier that the shock wave velocity is always less than that of light in vacuum for sufficiently strong shocks.
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