Journal ArticleDOI
Fluid dynamics of relativistic blast waves
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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.read more
Citations
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Gamma-ray burst early afterglows: reverse shock emission from an arbitrarily magnetized ejecta
Bing Zhang,Shiho Kobayashi +1 more
TL;DR: In this paper, the authors derived a rigorous analytical solution for the relativistic 90-shocks under the ideal MHD condition, which is reduced to the Blandford-McKee hy-drodynamical solution when the magnetization parameterapproaches zero, and to the Kennel-Coroniti solution (which depends ononly) when the shocks upstream and downstream are ultrarelativistic with respect to each other.
Journal ArticleDOI
Multiwavelength Afterglows in Gamma-Ray Bursts: Refreshed Shock and Jet Effects
TL;DR: In this article, an analytical approach to calculate the hydrodynamics of the interaction between a relativistic ejecta and a surrounding medium, whose evolution serves as a model for gamma-ray burst (GRB) afterglows, is presented.
Journal ArticleDOI
GeV emission from gamma‐ray bursts: a radiative fireball?
TL;DR: In this paper, the authors studied the gamma-ray burst emission observed at energies > 100 MeV by the Fermi-Large Area Telescope (LAT) until 2009 October and showed that the observed > 0.1 GeV flux can be interpreted as afterglow emission shortly following the start of the prompt phase emission as seen at smaller frequencies.
Journal ArticleDOI
Hydrodynamics of Gamma-Ray Burst Afterglow
TL;DR: In this article, the interaction of a relativistic shell with a uniform interstellar medium (ISM) up to the non-relativistic stage of a gamma-ray burst was explored.
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External forward shock origin of high-energy emission for three gamma-ray bursts detected by Fermi
Pawan Kumar,R. Barniol Duran +1 more
TL;DR: In this paper, the authors analyzed the > 100-MeV data for three gamma-ray bursts (GRBs) detected by the Fermi satellite and found that these photons were generated via synchrotron emission in the external forward shock.
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.