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We present the exact solutions for the collapse of a spherically-symmetric, cold (i.e., pressureless) cloud under its own self-gravity, valid for arbitrary initial density profiles and not restricted to the realm of self-similarity. These…

Astrophysics of Galaxies · Physics 2018-01-08 Eric R. Coughlin

We use a general circulation model to study the three-dimensional (3-D) flow and temperature distributions of atmospheres on tidally synchronized extrasolar planets. In this work, we focus on the sensitivity of the evolution to the initial…

Earth and Planetary Astrophysics · Physics 2015-05-18 Heidar Th. Thrastarson , James Y-K. Cho

The process of uniform supernovae explosions (SNe) is well investigated for all their types. However, observational data suggests that the SNe could be not spherically-symmetric. Modern multi-dimensional simulations of SNe demonstrate…

High Energy Astrophysical Phenomena · Physics 2022-02-16 I. Kalashnikov , A. Baranov , P. Chardonnet , V. Chechetkin , A. Filina

Models of self-gravitating gas in the early stages of pressure-free collapse are compared for initial states which are equilibrium layers, cylinders, and Bonnor-Ebert spheres. For each geometrical case the density profile has an inner…

Astrophysics · Physics 2009-11-10 Philip C. Myers

In this paper, we consider the finite-time blowup of hollow vortices. These are solutions of the two-dimensional Euler equations for which the fluid domain is the complement of finitely many Jordan curves $\Gamma_1, \ldots, \Gamma_M$, and…

Analysis of PDEs · Mathematics 2025-06-05 Robin Ming Chen , Samuel Walsh , Miles H. Wheeler

We report on new patterns in high-speed flows of granular materials obtained by means of extensive numerical simulations. These patterns emerge from the destabilization of unidirectional flows upon increase of mass holdup and inclination…

Soft Condensed Matter · Physics 2015-03-05 Nicolas Brodu , Renaud Delannay , Alexandre Valance , Patrick Richard

We study the evolution of radiating and viscous fluid spheres assuming an additional homothetic symmetry on the spherically simmetric space--time. We match a very simple solution to the symmetry equations with the exterior one (Vaidya). We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 W. Barreto , J. Ovalle , B. Rodriguez

We explore MHD solutions for envelope expansions with core collapse (EECC) with isothermal MHD shocks in a quasi-spherical symmetry and outline potential astrophysical applications of such magnetized shock flows. MHD shock solutions are…

Astrophysics · Physics 2009-11-11 Cong Yu , Yu-Qing Lou , Fu-Yan Bian , Yan Wu

Simulations of hot, pressure supported, tilted black hole accretion flows, in which the angular momentum of the flow is misaligned with the black hole spin axis, can exhibit two non-axisymmetric shock structures in the inner regions of the…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Aleksey Generozov , Omer Blaes , P. Chris Fragile , Ken B. Henisey

Aerobreakup of fluid droplets under the influence of impulsively generated high-speed gas flow using an open-ended shock tube is studied using experiments and numerical simulations. Breakup of mm-sized droplets at high Weber number was…

Fluid Dynamics · Physics 2022-06-24 James Leung , Mohana Gurunadhan , Shyam Menon

Self similarity allows for analytic or semi-analytic solutions to many hydrodynamics problems. Most of these solutions are one dimensional. Using linear perturbation theory, expanded around such a one-dimensional solution, we find…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Re'em Sari , J. Nate Bode , Almog Yalinewich , Andrew MacFadyen

We have used the Hubble Space Telescope to acquire new broad-band and narrow-band images of the optical line emission and red continuum associated with the HH 7-11 stellar jet in the NGC 1333 star formation region. Combining the new…

Solar and Stellar Astrophysics · Physics 2019-05-29 P. Hartigan , R. Holcomb , A. Frank

We solve the continuation problem for the non-isentropic Euler equations following the collapse of an imploding shock wave. More precisely, we prove that the self-similar G\"uderley imploding shock solutions for a perfect gas with adiabatic…

Analysis of PDEs · Mathematics 2024-03-20 Juhi Jang , Jiaqi Liu , Matthew Schrecker

Supernovae explosions of massive stars are nowadays believed to result from a two-step process, with an initial gravitational core collapse followed by an expansion of matter after a bouncing on the core. This scenario meets several…

Solar and Stellar Astrophysics · Physics 2022-08-02 Pierre-Henri Chavanis , Bruno Denet , Martine Le Berre , Yves Pomeau

We present the first 3-dimensional simulations following the evolution of supernova shocks from their inception in the stellar core through the development of a supernova remnant into the Sedov phase. Our set of simulations use two…

Solar and Stellar Astrophysics · Physics 2013-05-20 Carola I. Ellinger , Gabriel Rockefeller , Christopher L. Fryer , Patrick A. Young , Sangwook Park

Observations of both gamma-ray bursts (GRBs) and active galactic nuclei (AGNs) point to the idea that some relativistic jets are suffocated by their environment before we observe them. In these "choked" jets, all the jet's kinetic energy is…

High Energy Astrophysical Phenomena · Physics 2019-09-04 Christopher M. Irwin , Ehud Nakar , Tsvi Piran

We study the flow of gas in a barred-galaxy model, in which a considerable part of the underlying stable periodic orbits have loops where, close to the ends of the bar, several orbital families coexist and chaos dominates. Such conditions…

Astrophysics of Galaxies · Physics 2026-01-09 Stavros Pastras , Panos A. Patsis , E. Athanassoula

We have reexamined the similarity solution for a self-gravitating isothermal gas sphere and examined implication to star formation in a turbulent cloud. When parameters are adequately chosen, the similarity solution expresses an accreting…

Astrophysics · Physics 2009-11-13 Tomoyuki Hanawa , Akihito Soeda

We study the general relativistic collapse of neutron star (NS) models in spherical symmetry. Our initially stable models are driven to collapse by the addition of one of two things: an initially in-going velocity profile, or a shell of…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Scott C. Noble , Matthew W. Choptuik

We review recent advances in the study of binary star formation that have been made using the smoothed particle hydrodynamics (SPH) technique. We discuss the importance of ensuring that the Jeans mass is always resolved during a…

Astrophysics · Physics 2007-05-23 Matthew R. Bate