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Related papers: Strong shock in the uniformly expanding medium

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Self-similar solution is obtained for propagation of a strong shock, in a flat expanding dusty Friedman universe. Approximate analytic solution was obtained earlier, using relation between self-similar variables, equivalent to the exact…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-24 Gennadiy S. Bisnovatyi-Kogan , Sofya A. Panafidina

Propagation of strong shock wave in the expanding universe is studied using approximate analytic, and exact numerical solution of self-similar equations. Both solutions have similar properties, which change qualitatively, depending on the…

General Relativity and Quantum Cosmology · Physics 2021-01-28 G. S. Bisnovatyi-Kogan , S. A. Panafidina

We study the propagation of a Newtonian shock in a spherically symmetric, homologously expanding ejecta. We focus on media with a steep power-law density profile of the form $\rho \propto t^{-3}v^{-\alpha}$, with $\alpha>5$, where $v$ is…

High Energy Astrophysical Phenomena · Physics 2021-02-17 Taya Govreen-Segal , Ehud Nakar , Amir Levinson

A new condition for the linear dissipative instability of the strong plane shock wave in an arbitrary medium is obtained. The instability of the shock is realized due to the flow instability behind its front, which is similar to the known…

Fluid Dynamics · Physics 2020-06-24 Sergey G. Chefranov

Coughlin et al. (2018) (Paper I) derived and analyzed a new regime of self-similarity that describes weak shocks (Mach number of order unity) in the gravitational field of a point mass. These solutions are relevant to low energy explosions,…

High Energy Astrophysical Phenomena · Physics 2019-04-03 Eric R. Coughlin , Stephen Ro , Eliot Quataert

We present a self-similar solution to describe the propagation of a shock wave whose energy is deposited or lost at the front. Both of the propagation of the shock wave in a medium having a power-law density profile and the expansion of the…

Astrophysics · Physics 2009-11-13 Akihiro Suzuki , Toshikazu Shigeyama

We investigate the propagation of spherically symmetric shocks in relativistic homologously expanding media with density distributions following a power-law profile in their Lorentz factor. That is, $\rho_{ej} \propto…

High Energy Astrophysical Phenomena · Physics 2023-09-18 Taya Govreen-Segal , Noam Youngerman , Ishika Palit , Ehud Nakar , Amir Levinson , Omer Bromberg

Supersonic turbulence generates distributions of shock waves. Here, we analyse the shock waves in three-dimensional numerical simulations of uniformly driven supersonic turbulence, with and without magnetohydrodynamics and self-gravity. We…

Astrophysics · Physics 2007-05-23 Michael D. Smith , Mordecai-Mark Mac Low , Fabian Heitsch

Evolution of fast, radiative shocks in high density medium is presented. Ionizing spectra and approximate broad band light curves of the shocked gas are calculated. Emergent shock spectra, as seen by a distant observer, are obtained from…

Astrophysics · Physics 2015-06-24 Tomasz Plewa

The collision of two clouds of Fermi gas at unitarity (UFG) has been recently observed to lead to shock waves whose regularization mechanism, dissipative or dispersive, is being debated. While classical, dissipative shocks, as in gas…

Pattern Formation and Solitons · Physics 2013-07-04 Nicholas K. Lowman , Mark A. Hoefer

We study the evolution of the ultra-relativistic shock wave in a plane-parallel atmosphere adjacent to a vacuum and the subsequent breakout phenomenon. When the density distribution has a power law with the distance from the surface, there…

Astrophysics · Physics 2009-11-10 Kazunori Nakayama , Toshikazu Shigeyama

Core-collapse supernovae span a wide range of energies, from much less than to much greater than the binding energy of the progenitor star. As a result, the shock wave generated from a supernova explosion can have a wide range of Mach…

High Energy Astrophysical Phenomena · Physics 2019-08-07 Stephen Ro , Eric R. Coughlin , Eliot Quataert

The existence of only a few bubbles could drastically reduce the acoustic wave speed in a liquid. Wood's equation models the linear sound speed, while the speed of an ideal shock waves is derived as a function of the pressure ratio across…

Fluid Dynamics · Physics 2023-08-22 Siew-Wan Ohl , Juan Manuel Rossello , Daniel Fuster , Claus-Dieter Ohl

The mathematics of general relativistic shock waves is introduced and considered in a cosmological context. In particular, an expanding Friedmann-Roberson-Walker metric is matched to a Tolman-Oppenheimer-Volkoff metric across a spherical…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Christopher Alexander , Blake Temple , Joel Smoller

Analytical modeling of the evolution of cylindrical and spherical shock waves (shocks) during an implosion in water is presented for an intermediate range of convergence radii. Up to now this range is determined only in experiments…

Fluid Dynamics · Physics 2022-02-15 Sergey G. Chefranov , Yakov E. Krasik , Alexander Rososhek

A spherical blast wave with relativistic velocity can be described by a similarity solution, that is used for theoretical models of gamma-ray bursts. We consider the linear stability of such a relativistic blast wave propagating into a…

Astrophysics · Physics 2009-10-31 Jun Ogura , Yasufumi Kojima

The commonly applied self-similar solution of the problem of the converging shock wave (shock) evolution with constant compression of the medium behind the shock front results in an unlimited increase of the medium velocity in the vicinity…

Fluid Dynamics · Physics 2022-02-15 Sergey G. Chefranov , Yakov E. Krasik , Alexander Rososhek

We derive a fully relativistic, self-similar solution to describe the propagation of a shock along an exponentially decreasing atmosphere, in the limit of very large Lorentz factor. We solve the problem in planar symmetry and compute the…

Astrophysics · Physics 2009-11-07 Rosalba Perna , Mario Vietri

We investigate shock waves in the unitary Fermi gas by using the zero-temperature equations of superfluid hydrodynamics. We obtain analytical solutions for the dynamics of a localized perturbation of the uniform gas. These supersonic bright…

Quantum Gases · Physics 2011-11-11 Luca Salasnich

We present solutions for the self-similar propagation of a shock wave in a hydrostatic, adiabatic medium with a point mass gravitational field. In contrast to the well-known, Sedov-Taylor blastwave, these solutions apply to the case when…

High Energy Astrophysical Phenomena · Physics 2018-08-29 Eric R. Coughlin , Eliot Quataert , Stephen Ro
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