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In this paper we analyse the propagation of warps in protostellar circumbinary discs. We use these systems as a test environment in which to study warp propagation in the bending-wave regime, with the addition of an external torque due to…

Solar and Stellar Astrophysics · Physics 2015-06-16 Stefano Facchini , Giuseppe Lodato , Daniel J. Price

Massive stars can during their evolution reach the phase of critical (or very rapid, near-critical) rotation when further increase in rotation rate is no longer kinematically allowed. The mass ejection and angular momentum outward transport…

Solar and Stellar Astrophysics · Physics 2024-02-28 Petr Kurfürst

We investigate mode coupling in a two dimensional compressible disc with radial stratification and differential rotation. We employ the global radial scaling of linear perturbations and study the linear modes in the local shearing sheet…

Earth and Planetary Astrophysics · Physics 2015-05-14 A. G. Tevzadze , G. D. Chagelishvili , G. Bodo , P. Rossi

Transversal oscillations of spicules axes may be related to the propagation of magnetohydrodynamic waves along them. These waves may become unstable and the instability can be of the Kelvin-Helmholtz type. We use the dispersion relation of…

Solar and Stellar Astrophysics · Physics 2015-06-23 A. Ajabshirizadeh , H. Ebadi , R. E. Vekalati , K. Molaverdikhani

We present a study of instabilities occuring in thick magnetized accretion disks. We calculate the growth rates of these instabilities and characterise precisely the contribution of the magneto-rotational and the convective mechanism. All…

Astrophysics · Physics 2009-11-11 Eric van der Swaluw , Jan-Willem Blokland , Rony Keppens

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

We have considered precession in accretion disks in which a second moment of inertia relative to an axis perpendicular to the axis of rotation may be very important. This formalism, that takes into account the precession contribution to the…

Astrophysics · Physics 2007-10-17 Cesar Meirelles Filho

Understanding oscillations and waves in astrophysical fluid bodies helps to elucidate their observed variability and the underlying physical mechanisms. Indeed, global oscillations and bending modes of accretion discs or tori may be…

Solar and Stellar Astrophysics · Physics 2021-09-23 Callum W. Fairbairn , Gordon I. Ogilvie

This work investigates the morphological stability of a soft body composed of two heavy elastic layers, attached to a rigid surface and subjected only to the bulk gravity force. Using theoretical and computational tools, we characterize the…

Soft Condensed Matter · Physics 2017-09-21 Davide Riccobelli , Pasquale Ciarletta

We investigate the convective stability of a thin, infinite fluid layer with a rectangular cross-section, subject to imposed heat fluxes at the top and bottom and fixed temperature along the vertical sides. The instability threshold depends…

The prevalence and consequences of convection perpendicular to the plane of accretion discs have been discussed for several decades. Recent simulations combining convection and the magnetorotational instability have given fresh impetus to…

Solar and Stellar Astrophysics · Physics 2018-08-08 Loren E. Held , Henrik N. Latter

This letter expands the stability criterion for radially stratified, vertically {unstratified} accretion disks incorporating thermal relaxation. We find a linear amplification of epicyclic oscillations in these disks that depends on the…

Solar and Stellar Astrophysics · Physics 2015-06-19 Hubert Klahr , Alexander Hubbard

The stratification of entropy and the stratification of angular momentum are closely analogous. Of particular interest is the behavior of disks in which angular momentum transport is controlled by convection, and heat transport by dynamical…

Astrophysics · Physics 2009-10-31 Steven A. Balbus

For over 30 years, the Magneto-Rotational Instability has been accepted as the mechanism driving accretion disk turbulence. Its physical basis is well understood, where an interplay between centrifugal forces and magnetic tension transfers…

Astrophysics of Galaxies · Physics 2025-07-31 Nicolas Brughmans , Rony Keppens

The collective dynamics of objects moving through a viscous fluid is complex and counterintuitive. A key to understanding the role of nontrivial particle shape in this complexity is the interaction of a pair of sedimenting spheroids. We…

Soft Condensed Matter · Physics 2019-06-12 Rahul Chajwa , Narayanan Menon , Sriram Ramaswamy

The velocity fluctuations in a spherical shell arising from sinusoidal perturbations of a Keplerian shear flow with a free amplitude parameter \epsilon are studied numerically by means of fully 3D nonlinear simulations. The investigations…

Astrophysics · Physics 2009-11-06 G. Rudiger , A. Drecker

We present a novel artificial diffusion method to circumvent the instabilities associated with the standard finite element approximation of convection-diffusion equations. Motivated by the micromorphic approach, we introduce an auxiliary…

Numerical Analysis · Mathematics 2025-06-19 Soheil Firooz , B. Daya Reddy , Paul Steinmann

We investigated the Rayleigh-Plateau instability at the interface between two immiscible liquids of equal viscosity using molecular dynamics simulations. Two types of initial conditions were considered, one with an imposed single-mode…

Soft Condensed Matter · Physics 2025-12-02 Shunta Kikuchi , Hiroshi Watanabe

In standard accretion discs, outward angular momentum transfer by viscous forces is compensated by the inward motion of the accreting matter. However, the vertical structure of real accretion discs leads to meridional circulation with…

High Energy Astrophysical Phenomena · Physics 2017-12-27 Pavel Abolmasov

An exact nonlinear scaling transformation is presented for the local three-dimensional dynamical equations of motion for differentially rotating disks. The result is relevant to arguments that have been put forth claiming that numerical…

Astrophysics · Physics 2007-05-23 Steven A. Balbus