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The topologies are obtained for accretion flows around black holes as the parameters, accretion rate and specific angular momentum are varied. Paczy{\'n}ski-Wiita pseudo-Newtonian potential is used to mimic the gravitational field of a…

Astrophysics · Physics 2009-09-29 Sivakumar G. Manickam

In this paper, both smooth subsonic and transonic flows to steady Euler-Poisson system in a concentric cylinder are studied. We first establish the existence of cylindrically symmetric smooth subsonic and transonic flows to steady…

Analysis of PDEs · Mathematics 2023-08-23 Shangkun Weng , Wengang Yang , Na Zhang

In this work, we study the implications of nonlinearity in general relativistic spherically symmetric inviscid irrotational accretion flow in a stationary non-rotating spacetime. It has been found that the perturbation scheme leads to a…

General Relativity and Quantum Cosmology · Physics 2018-05-25 Md Arif Shaikh

Analytical studies and numerical simulations of time dependent axially symmetric flows onto black holes have shown that it is possible to produce stationary shock waves with a stable position both for ideal inviscid and for moderately…

Astrophysics · Physics 2019-08-17 Diego Molteni , Gabor Toth , Oleg A. Kuznetsov

We apply the theory of algebraic polynomials to analytically study the transonic properties of general relativistic hydrodynamic axisymmetric accretion onto non-rotating astrophysical black holes. For such accretion phenomena, the conserved…

General Relativity and Quantum Cosmology · Physics 2012-04-05 Shilpi Agarwal , Tapas K. Das , Rukmini Dey , Sankhasubhra Nag

We investigate the time evolution of sub-Keplerian transonic accretion flow onto a non-rotating black hole using axisymmetric viscous hydrodynamic simulations. We simulate the accretion flow using boundary values from semi-analytical…

High Energy Astrophysical Phenomena · Physics 2025-09-25 Sanjit Debnath , Indranil Chattopadhyay , Raj Kishor Joshi , Philippe Laurent , Priyesh Kumar Tripathi , M. Saleem Khan

We discuss the solution of accretion disk when the black hole is chosen to be rotating. We study, how the fluid properties get affected for different rotation parameters of the black hole. We know that no cosmic object is static in…

Astrophysics · Physics 2009-11-07 Banibrata Mukhopadhyay

We study time evolution of sub-Keplerian transonic accretion flows onto black holes using a general relativistic numerical simulation code. We perform simulations in Schwarzschild spacetime. We first compare one-dimensional simulation…

High Energy Astrophysical Phenomena · Physics 2017-09-20 Jinho Kim , Sudip K. Garain , Dinshaw S. Balsara , Sandip K. Chakrabarti

Bondi-Hoyle accretion configurations occur as soon as a gravitating body is immersed in an ambient medium with a supersonic relative velocity. From wind-accreting X-ray binaries to runaway neutron stars, such a regime has been witnessed…

High Energy Astrophysical Phenomena · Physics 2015-10-21 Ileyk El Mellah , Fabien Casse

We explore the global structure of the accretion flow around a Schwarzschild black hole where the accretion disc is threaded by toroidal magnetic fields. The accretion flow is optically thin and advection dominated. Synchrotron radiation is…

High Energy Astrophysical Phenomena · Physics 2018-03-14 Biplob Sarkar , Santabrata Das

The dynamics along the particle trajectories for the 3D axisymmetric Euler equations are considered. It is shown that if the inflow is rapidly increasing (pushy) in time, the corresponding laminar profile of the incompressible Euler flow is…

Analysis of PDEs · Mathematics 2017-05-15 Tsuyoshi Yoneda

We obtain approximate analytical solutions of the Einstein equations close to the trapping horizon for a dynamical spherically symmetric black hole in the presence of a minimally coupled self-interacting scalar field. This is made possible…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Marco de Cesare , Roberto Oliveri

We study supersonic flow past a convex corner which is surrounded by quiescent gas. When the pressure of the upstream supersonic flow is larger than that of the quiescent gas, there appears a strong rarefaction wave to rarefy the supersonic…

Analysis of PDEs · Mathematics 2018-01-16 Min Ding , Hairong Yuan

This paper investigates the nonlinear dynamics of Newton's problem of minimal resistance in radial fields. We move beyond classical translational symmetry to analyze two non-equilibrium scenarios: a scale-invariant free expansion and an…

Fluid Dynamics · Physics 2026-05-15 Rafael López

We unravel the stationary properties and the interaction quench dynamics of two bosons, confined in a two-dimensional anisotropic harmonic trap. A transcendental equation is derived giving access to the energy spectrum and revealing the…

Quantum Gases · Physics 2020-07-22 G. Bougas , S. I. Mistakidis , G. M. Alshalan , P. Schmelcher

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

Non-autonomous dynamical systems help us to understand the implications of real systems which are in contact with their environment as it actually occurs in nature. Here, we focus on systems where a parameter changes with time at small but…

Chaotic Dynamics · Physics 2020-09-24 Julia Cantisán , Jesús M. Seoane , Miguel A. F. Sanjuán

We revisit Bondi flows on black holes, naked singularities and neutron stars keeping in mind recent progress in understanding of the flow behaviour near compact objects. In an adiabatic spherical accretion on black holes and naked…

Astrophysics · Physics 2007-05-23 Sandip K. Chakrabarti , Soumitri A. Sahu

The dynamics and the steady states of a point-like tracer particle immersed in a confined critical fluid are studied. The fluid is modeled field-theoretically in terms of an order parameter (concentration or density field) obeying…

Statistical Mechanics · Physics 2023-01-03 Markus Gross

We study the role of adiabatic index in determining the critical points in the transonic low angular momentum accretion flow onto a black hole. We present the general relativistic 2D hydrodynamic simulations of axisymmetric, inviscid…

High Energy Astrophysical Phenomena · Physics 2019-06-05 Ishika Palit , Agnieszka Janiuk , Petra Sukova