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We present an instability, occurring in the inner region of magnetized accretion disks, which seems to be a good candidate to explain the low-frequency QPO observed in many X-ray binaries. We then briefly show how, in the remarkable case of…

Astrophysics · Physics 2009-10-31 Michel Tagger

We investigate the time-asymptotic stability of solutions to the one-dimensional Navier-Stokes-Fourier system in the half-space, focusing on the outflow and impermeable wall problems. When the prescribed boundary and far-field conditions…

Analysis of PDEs · Mathematics 2026-03-03 Xushan Huang , Hobin Lee , HyeonSeop Oh

We investigate the instability and stability of specific steady-state solutions of the two-dimensional non-homogeneous, incompressible, and viscous Navier-Stokes equations under the influence of a general potential $f$. This potential is…

Analysis of PDEs · Mathematics 2025-03-12 Liang Li , Tao Tan , Quan Wang

The standard equilibrium for radiation-dominated accretion disks has long been known to be viscously, thermally, and convectively unstable, but the nonlinear development of these instabilities---hence the actual state of such disks---has…

Astrophysics · Physics 2009-11-06 Eric Agol , Julian Krolik , Neal Turner , James Stone

Quasi-Periodic Oscillations (QPOs) are very puzzling since they remain totally unexplained by popular earlier models of accretion disks. The significant rms value in power density spectrum implies that the oscillation involves in the…

High Energy Astrophysical Phenomena · Physics 2009-03-10 Sandip K. Chakrabarti , D. Debnath , P. S. Pal , A. Nandi , R. Sarkar , M. M. Samanta , P. J. Wiita , H. Ghosh , D. Som

We investigated accretion on to black holes in presence of viscosity and cooling, by employing an equation of state with variable adiabatic index and multi-species fluid. We obtained the expression of generalized Bernoulli parameter which…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Rajiv Kumar , Indranil Chattopadhyay

The adiabatic shock produced by a compact object moving supersonically relative to a gas with uniform entropy and no vorticity is a source of entropy gradients and vorticity. We investigate these analytically. The non-axisymmetric…

Astrophysics · Physics 2007-05-23 T. Foglizzo , M. Ruffert

We discuss two important instability mechanisms that may lead to the limit-cycle oscillations of the luminosity of the accretion disks around compact objects: ionization instability and radiation-pressure instability. Ionization instability…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Agnieszka Janiuk , Bożena Czerny

In this Letter, we suggest that the relativistic protons powering the outflows emanating from radio-loud systems containing black holes are accelerated at standing, centrifugally-supported shocks in hot, advection-dominated accretion disks.…

Astrophysics · Physics 2009-11-10 Truong Le , Peter A. Becker

Recently Ghosh (1998) reported a new regime of instability in Keplerian accretion disks which is caused by relativistic effects. This instability appears in the gas pressure dominated region when all relativistic corrections to the disk…

Astrophysics · Physics 2009-10-31 R. Moderski , B. Czerny

In this paper, we obtain the optimal instability threshold of the Couette flow for Navier-Stokes equations with small viscosity $\nu>0$, when the perturbations are in the critical spaces $H^1_xL_y^2$. More precisely, we introduce a new…

Analysis of PDEs · Mathematics 2024-04-30 Hui Li , Nader Masmoudi , Weiren Zhao

Two-dimensional (axially symmetric) numerical hydrodynamical calculations of accretion flows which cannot cool through emission of radiation are presented. The calculations begin from an equilibrium configuration consisting of a thick torus…

Astrophysics · Physics 2009-10-31 James M. Stone , James E. Pringle , Mitchell C. Begelman

The shock wave instability induced when interacting with a small waviness on an interface was investigated analytically and numerically. The perturbation to the shock was phenomenologically treated assuming this as the consequence of the…

Fluid Dynamics · Physics 2018-08-29 A. Markhotok

We present a detailed study of localised magnetohydrodynamical (MHD) instabilities occuring in two--dimensional magnetized accretion disks. We model axisymmetric MHD disk tori, and solve the equations governing a two--dimensional magnetized…

Astrophysics · Physics 2011-07-08 J. W. S. Blokland , R. Keppens , J. P. Goedbloed

We study the properties of the shock waves for a viscous accretion flow having low angular momentum in presence of synchrotron cooling. We present all possible accretion solutions in terms of flow parameters. We identify the region of the…

Astrophysics · Physics 2016-11-15 Santabrata Das , Sandip K. Chakrabarti

In this paper we examine time-dependent and three-dimensional perturbations of spherical accretion flow onto a neutron star close to its Eddington limit. Our treatment assumes a Schwarzschild geometry for the spacetime outside the neutron…

Astrophysics · Physics 2009-10-30 Guy S. Miller , Myeong-Gu Park

In this paper, we show that astrophysical accretion disks are dynamically unstable to non-axisymmetric disturbances. This instability is present in any stably stratified anticyclonically sheared flow as soon as the angular velocity…

Astrophysics · Physics 2007-05-23 D. Richard , F. Hersant , O. Dauchot , F. Daviaud , B. Dubrulle , J-P. Zahn

We employ hydrodynamic simulations to study the effects of high shock compression ratios, as expected for fast shocks with efficient particle acceleration, on the convective instability of driven waves in supernova remnants. We find that…

Astrophysics · Physics 2009-11-06 John M. Blondin , Donald C. Ellison

Low angular momentum accretion flows can have standing and oscillating shock waves. We study the region of the parameter space in which multiple sonic points occur in viscous flows in presence of various cooling effects such as…

Astrophysics · Physics 2016-08-30 Santabrata Das , Sandip K. Chakrabarti

The local axisymmetric stability of hydrodynamical and magnetized, nearly-Keplerian gaseous accretion disks around non-rotating black holes is examined in the vicinity of the classical marginally-stable orbit (at radii ~ R_ms). An…

Astrophysics · Physics 2011-05-10 Kristen Menou
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