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We employ hydrodynamic equations to follow the clustering instability of a freely cooling dilute gas of inelastically colliding spheres into a well-developed nonlinear regime. We simplify the problem by dealing with a one-dimensional…

Statistical Mechanics · Physics 2009-11-10 Efi Efrati , Eli Livne , Baruch Meerson

We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant coefficient second-order partial differential elliptic…

Analysis of PDEs · Mathematics 2018-02-06 Yi-Hsuan Lin , Shixu Meng

We present a new, approximate method for modelling the acceleration and collimation of relativistic jets in the presence of gravity. This method is self-similar throughout the computational domain where gravitational effects are negligible…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Peter Polko , David L. Meier , Sera Markoff

We investigate the dynamical structure of advective accretion flow around stationary as well as rotating black holes. For a suitable choice of input parameters, such as, accretion rate ($\dot {\cal M}$) and angular momentum ($\lambda$),…

High Energy Astrophysical Phenomena · Physics 2015-05-14 Santabrata Das , Sandip K. Chakrabarti , Soumen Mondal

We present results from three-dimensional, self-gravitating radiation hydrodynamical models of gas accretion by planetary cores. In some cases, the accretion flow is resolved down to the surface of the solid core -- the first time such…

Astrophysics · Physics 2009-11-13 Ben A. Ayliffe , Matthew R. Bate

The propagation of a cylindrical shock wave in a self-gravitating, rotating axisymmetric dusty gas under the action of monochromatic radiation with a constant intensity per unit area, which has variable azimuthal and axial components of…

Fluid Dynamics · Physics 2018-07-20 Ruchi Bajargaan , Arvind Patel

We investigate the properties of spiral shocks in a steady, adiabatic, non-axisymmetric, self-gravitating, mass-outflowing accretion disk around a compact object. We obtain the accretion-ejection solutions in a gaseous galactic disk and…

Astrophysics of Galaxies · Physics 2023-12-06 Ramiz Aktar , Li Xue , Li-Xin Zhang , Jing-Yi Luo

We investigate the accretion of test fluids onto regular black holes such as Kehagias-Sfetsos black hole and a regular black hole with Dagum Distribution Function. We analyze the accretion process when different test fluids are falling onto…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Abdul Jawad , M. Umair Shahzad

A self-similar motion of the generalized Chaplygin gas in its own gravitational field is considered. The problem is being studied numerically and analytically (in the limiting cases). It is shown that the model under consideration admits…

Astrophysics of Galaxies · Physics 2015-05-19 V. Dzhunushaliev , V. Folomeev , R. Myrzakulov

Wave disturbances of a stratified gas are studied. The description is built on a basis of the Bhatnagar -- Gross -- Krook (BGK) kinetic equation which is reduced down the level of fluid mechanics. The double momenta set is introduced inside…

Fluid Dynamics · Physics 2009-11-11 Dmitry Vereshchagin , Sergey Leble

We present a simple, analytic and straightforward method to elucidate the effects produced by polytropic fluids on any other gravitational source, no matter its nature, for static and spherically symmetric spacetimes. As a direct…

General Relativity and Quantum Cosmology · Physics 2022-03-30 J. Ovalle , E. Contreras , Z. Stuchlik

The spherical collapse scenario has great importance in cosmology since it captures several crucial aspects of structure formation. The presence of self-similar solutions in the Einstein-de Sitter (EdS) model greatly simplifies its…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-03 Han Zhang , Tobias Weinzierl , Holger Schulz , Baojiu Li

We present evidence for cosmological gas accretion onto spiral galaxies in the local universe. The accretion is seen through its effects on the dynamics of the extra-planar neutral gas. The accretion rates that we estimate for two nearby…

Astrophysics · Physics 2009-11-13 Filippo Fraternali , James Binney

In this paper, we study the accretion process for fluids flowing near a black hole in the context of $f(T)$ teleparallel gravity. Specifically, by performing a dynamical analysis by a Hamiltonian system, we are able to find the sonic…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Ayyesha K. Ahmed , Mustapha Azreg-Aïnou , Sebastian Bahamonde , Salvatore Capozziello , Mubasher Jamil

One of the challenges when simulating astrophysical flows with self-gravity is to compute the gravitational forces. In contrast to the hyperbolic hydrodynamic equations, the gravity field is described by an elliptic Poisson equation. We…

Numerical Analysis · Mathematics 2021-06-30 Michael Schlottke-Lakemper , Andrew R. Winters , Hendrik Ranocha , Gregor J. Gassner

We study spherically-symmetric solutions in Massive Gravity generated by matter sources with polytropic equation of state. We concentrate in the non-perturbative regime where the mass term non-linearities are important, and present the main…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Y. Brihaye , Y. Verbin

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

A new one-dimensional, dynamical model is proposed for geometrically thin, self-gravitating viscous accretion discs. The vertically integrated equations are simplified using the slow accretion limit and the monopole approximation with a…

Astrophysics of Galaxies · Physics 2015-04-30 Tobias F. Illenseer , Wolfgang J. Duschl

We consider a single disk moving under the influence of a 2D viscous fluid and we study the asymptotic as the size of the solid tends to zero.If the density of the solid is independent of $\varepsilon$, the energy equality is not sufficient…

Analysis of PDEs · Mathematics 2016-11-08 Christophe Lacave , Takéo Takahashi

Accretion onto black holes often proceeds via an accretion disc or a temporary disc-like pattern. Variability features, observed in the light curves of such objects, and theoretical models of accretion flows suggest that accretion discs are…

High Energy Astrophysical Phenomena · Physics 2016-06-01 V. Karas