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We explore semi-complete self-similar solutions for the polytropic gas dynamics involving self-gravity under spherical symmetry, examine behaviours of the sonic critical curve, and present new asymptotic collapse solutions that describe…

Astrophysics · Physics 2009-11-11 Yu-Qing Lou , Wei-Gang Wang

Smoke circle vortexes are a typical dynamic phenomenon in nature. The similar circle vortexes phenomenon appears in hurricane, turbulence, and many others. A semi-empirical method is constructed to get some intrinsic understanding about…

General Physics · Physics 2011-01-18 Xiao Jianhua

A phase space is built that allows to study, classify and compare easily large classes of static spherically symmetric wormholes solutions, sustained by an isotropic perfect fluid in General Relativity. We determine the possible locations…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Stephane Fay

We explore isothermal shock formation in non-equatorial, adiabatic accretion flows onto a rotating black hole, with possible application to some active galactic nuclei (AGNs). The isothermal shock jump conditions as well as the regularity…

Astrophysics · Physics 2009-11-10 Keigo Fukumura , Sachiko Tsuruta

We study spherically symmetric, self-similar wormhole solutions supported by colliding streams of negative-energy null dust, and their dynamical formation. Under the assumption of self-similarity, the Einstein equations reduce to a system…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Yasutaka Koga , Ryota Maeda , Daiki Saito , Daisuke Yoshida

We consider the dynamics of a gas bubble immersed in an incompressible fluid of fixed temperature, and focus on the relaxation of an expanding and contracting spherically symmetric bubble due to thermal effects. We study two models, both…

Analysis of PDEs · Mathematics 2023-10-05 Chen-Chih Lai , Michael I. Weinstein

We consider the case when a supercritical fluid emerges at sonic speed from a small orifice in a high pressure chamber. The subsequent expansion causes a pressure drop and the fluid then enters a regime where its equation of state in $P-V$…

Soft Condensed Matter · Physics 2007-05-23 Shirish M. Chitanvis

We utilize the Magneticum suite of hydrodynamical simulations to investigate the formation and evolution of cosmic voids from $z = 5.04$ to present day, using cold dark matter and (sub-) halo tracers in high-density samples. This includes…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Nico Schuster , Nico Hamaus , Alice Pisani , Klaus Dolag , Jochen Weller

Supersonic vortex plane and axisymmetric flows of non-viscous non-heatconductive gas with arbitrary thermodynamic properties in the vicinity of a steady shock wave are studied. The differential equations describing the gas flow exterior to…

Fluid Dynamics · Physics 2016-01-27 Vladimir N. Uskov , Pavel S. Mostovykh

We analyze the shock formation process for the 3d non-isentropic Euler equations with the ideal gas law, in which sounds waves interact with entropy waves to produce vorticity. Building on our theory for isentropic flows in [3,4], we give a…

Analysis of PDEs · Mathematics 2020-06-29 Tristan Buckmaster , Steve Shkoller , Vlad Vicol

We present a set of cosmological variables, called "supercomoving variables," which are particularly useful for describing the gas dynamics of cosmic structure formation. For ideal gas with gamma=5/3, the supercomoving position, velocity,…

Astrophysics · Physics 2009-10-30 Hugo Martel , Paul R. Shapiro

We explore the linear stability of astrophysical discs exhibiting vertical shear, which arises when there is a radial variation in the temperature or entropy. Such discs are subject to a "vertical-shear instability", which recent nonlinear…

Solar and Stellar Astrophysics · Physics 2015-06-24 Adrian J. Barker , Henrik N. Latter

Supersonic isothermal turbulence is ubiquitous in the interstellar medium. This work presents high-resolution AREPO hydrodynamical simulations of isolated shocks moving through supersonic turbulence to study the development and evolution of…

Astrophysics of Galaxies · Physics 2025-08-20 Michael M. Foley , Philip Mocz , Blakesley Burkhart , Lars Hernquist , Alyssa Goodman

Cosmic voids provide a powerful probe of the origin and evolution of structures in the Universe because their dynamics can remain near-linear to the present day. As a result they have the potential to connect large scale structure at late…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-26 Stephen Stopyra , Hiranya V. Peiris , Andrew Pontzen

The coupled evolution of an eroding cylinder immersed in a fluid within the subcritical Reynolds range is explored with scale resolving simulations. Erosion of the cylinder is driven by fluid shear stress. K\'arm\'an vortex shedding…

Fluid Dynamics · Physics 2017-03-14 James N. Hewett , Mathieu Sellier

Direct numerical simulations are utilised to investigate mass transfer processes at gas-evolving electrodes that experience successive formation and detachment of bubbles. The gas-liquid interface is modeled employing an Immersed Boundary…

Fluid Dynamics · Physics 2023-10-23 Farzan Sepahi , Roberto Verzicco , Detlef Lohse , Dominik Krug

We extend the linear analysis of the drag instability in a 1D perpendicular isothermal C-shock by Gu & Chen to 2D perpendicular and oblique C-shocks in the typical environment of star-forming clouds. Simplified dispersion relations are…

Solar and Stellar Astrophysics · Physics 2021-06-21 Pin-Gao Gu

We study closed dense collections of hard spheres that collide inelastically with constant coefficient of normal restitution. We find inhomogeneous states (IS) where the density profile is spatially non-uniform but constant in time. The…

Chaotic Dynamics · Physics 2014-02-19 Itzhak Fouxon

In the paper we prove the existence results for initial-value boundary value problems for compressible isothermal Navier-Stokes equations. We restrict ourselves to 2D case of a problem with no-slip condition for nonstationary motion of…

Analysis of PDEs · Mathematics 2014-07-11 P. I. Plotnikov , W. Weigant

In this paper we consider singular timelike spherical hypersurfaces embedded in a $D$-dimensional spherically symmetric bulk spacetime which is an electrovacuum solution of Einstein equations with cosmological constant. We analyse the…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Marcos A. Ramirez , Daniel Aparicio
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