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A linear stability analysis has been performed onto a self-gravitating magnetized gas disk bounded by external pressure. The resulting dispersion relation is fully explained by three kinds of instability: a Parker-type instability driven by…

Astrophysics · Physics 2007-05-23 Sang Min Lee , Seung Soo Hong

Gravitational instability plays an important role in driving gas accretion in massive protostellar discs. Particularly strong is the global gravitational instability, which arises when the disc mass is of order 0.1 of the mass of the…

Astrophysics of Galaxies · Physics 2015-05-20 D. Harsono , R. D. Alexander , Yuri Levin

A long-standing puzzle in the study of black-hole accretion concerns the presence or not of thermal instability. Classical theory predicts the encircling accretion disk is unstable, as do some self-consistent MHD simulations of the flow.…

High Energy Astrophysical Phenomena · Physics 2017-03-02 Johnathan Ross , Henrik Latter , Michael Tehranchi

Many accretion discs are thought to be warped. Recent hydrodynamical simulations show that (i) discs can break into distinct planes when the amplitude of an imposed warp is sufficiently high and the viscosity sufficiently low, and that (ii)…

High Energy Astrophysical Phenomena · Physics 2020-05-13 Suzan Dogan , Chris Nixon

This paper discusses new perspectives and approaches to the problem of disk dynamics where, in this study, we focus on the effects of viscous instabilities influenced by boundary effects. The Boussinesq approximation of the viscous large…

Astrophysics · Physics 2009-11-13 O. M. Umurhan , G. Shaviv

We study the stability of Stokes waves on a free surface of an ideal fluid of infinite depth. For small steepness the modulational instability dominates the dynamics, but its growth rate is vastly surpassed for steeper waves by an…

The linear analysis of the instability due to vertical shear in the dust layer of the solar nebula is performed. The following assumptions are adopted throughout this paper: (1) The self-gravity of the dust layer is neglected. (2) One fluid…

Astrophysics · Physics 2009-11-07 Naoki Ishitsu , Minoru Sekiya

The evolution of warped disks is governed by internal, oscillatory shear flows driven by their distorted geometry. However, these flows are known to be vigorously unstable to a hydrodynamic parametric instability. In many warped systems,…

Solar and Stellar Astrophysics · Physics 2025-08-25 Callum W. Fairbairn , James M. Stone

The origin of hydrodynamic turbulence, and in particular of an anomalously enhanced angular momentum transport, in accretion disks is still an unsolved problem. This is especially important for cold disk systems which are practically…

Astrophysics · Physics 2008-11-26 Banibrata Mukhopadhyay

Observations of protostellar disks indicate the presence of the magnetic field of thermal (or superthermal) strength. In such a strong magnetic field, many MHD instabilities responsible for turbulent transport of the angular momentum are…

Astrophysics · Physics 2009-11-13 Alfio Bonanno , Vadim Urpin

Hydrodynamic, non-magnetic instabilities can provide turbulent stress in the regions of protoplanetary discs, where the MRI can not develop. The induced motions influence the grain growth, from which formation of planetesimals begins.…

Earth and Planetary Astrophysics · Physics 2017-09-06 M. G. Malygin , H. Klahr , D. Semenov , Th. Henning , C. P. Dullemond

We have recently shown that spiral density waves propagating in accretion disks can undergo a parametric instability by resonantly coupling with and transferring energy into pairs of inertial waves (or inertial-gravity waves when buoyancy…

Earth and Planetary Astrophysics · Physics 2016-12-21 Jaehan Bae , Richard P. Nelson , Lee Hartmann

Recent study suggests that the streaming instability, one of the leading mechanisms for driving the formation of planetesimals, may not be as efficient as previously thought. Under some disc conditions, the growth timescale of the…

Earth and Planetary Astrophysics · Physics 2020-12-02 Zhaohuan Zhu , Chao-Chin Yang

We consider the linearized instability of 2D irrotational solitary water waves. The maxima of energy and the travel speed of solitary waves are not obtained at the highest wave, which has a 120 degree angle at the crest. Under the…

Analysis of PDEs · Mathematics 2008-03-05 Zhiwu Lin

This paper is a sequel to our previous work for accretion onto a Schwarzschild black hole and the so-called standing accretion shock instability (SASI), in this paper we investigate non-axisymmetric perturbations for a Kerr black hole. The…

High Energy Astrophysical Phenomena · Physics 2011-02-11 Hiroki Nagakura , Shoichi Yamada

The Herschel Gould Belt Survey showed that stars form in dense filaments in nearby molecular clouds. Recent studies suggest that massive filaments are bound by the slow shocks caused by accretion flows onto the filaments. The slow shock is…

Astrophysics of Galaxies · Physics 2023-10-26 Daisei Abe , Tsuyoshi Inoue , Shu-ichiro Inutsuka

Mechanical properties of engineering alloys are strongly correlated to their microstructural length scale. Diffusive insta- bilities of the Mullins-Sekerka type is one of the principal mechanisms through which the scale of the…

Materials Science · Physics 2017-01-04 Arka Lahiri , Abhik Choudhury

(substantial changes to section 3.2, otherwise minor) We present an analysis of the hydrodynamic stability of a cold slab bounded by two accretion shocks. Previous numerical work has shown that when the Mach number of the shock is large the…

Astrophysics · Physics 2009-10-22 ET Vishniac

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

Layered accretion is one of the inevitable ingredients in protoplanetary disks when disk turbulence is excited by magnetorotational instabilities (MRIs). In the accretion, disk surfaces where MRIs fully operate have a high value of disk…

Earth and Planetary Astrophysics · Physics 2015-12-23 Yasuhiro Hasegawa , Taku Takeuchi