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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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Optical superluminal motion measurement in the neutron-star merger GW170817

TL;DR: The afterglow of the binary neutron-star merger GW1708171 gave evidence for a structured relativistic jet and a link between such mergers and short gamma-ray bursts as mentioned in this paper .
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Theory of the formation of a collisionless Weibel shock: pair vs. electron/proton plasmas

TL;DR: Collisionless shocks are shocks in which the mean-free path is much larger than the shock front as discussed by the authors, and they are ubiquitous in astrophysics and the object of much current attention as they are known to be...
Journal ArticleDOI

Optical measurement of superluminal motion in the neutron-star merger GW170817

TL;DR: The afterglow of the binary neutron-star merger GW1708171 gave evidence for a structured relativistic jet and a link between such mergers and short gamma-ray bursts as mentioned in this paper .
Journal ArticleDOI

A multidimensional relativistic hydrodynamic code with a general equation of state

TL;DR: In this article, a general equation of state for a multi-component relativistic gas was proposed, which is consistent with the Synge equation and is suitable for numerical hydrodynamics.
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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