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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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Implications of the measured image size for the radio afterglow of GRB 030329

TL;DR: In this article, the authors use data on the image size of the radio afterglow of GRB 030329 to constrain the physical parameters of this explosion, together with the observed broadband spectrum, to test different GRB jet models for consistency.
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A semi-analytic formulation for relativistic blast waves with a long-lived reverse shock

TL;DR: In this paper, a semi-analytic study of relativistic blast waves in the context of gamma-ray bursts is performed, where the authors adopt a more realistic EOS with a variable adiabatic index.
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Radio limits on off-axis GRB afterglows and VLBI observations of SN 2003gk

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The production of strong blast waves through intense laser irradiation of atomic clusters

TL;DR: In this article, the authors measured the energy absorption efficiency of high-intensity, picosecond laser pulses in low-density gases composed of large atomic clusters and found that energy absorption can be very high (> 95%), producing a high-temperature plasma filament which consequently produces a strong blast wave.
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Physical-constraint-preserving central discontinuous galerkin methods for special relativistic hydrodynamics with a general equation of state

TL;DR: In this article, the authors developed high-order accurate, physical-constraints-preserving (PCP), central, discontinuous Galerkin (DG) methods for the one and two-dimensional special RHD equations with a general EOS.
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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