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Related papers: Diffusive Instabilities in Dusty Disks: Linear Gro…

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We investigate the dynamics of dust concentration in actively accreting, substructured, non-ideal MHD wind-launching disks using 2D and 3D simulations incorporating pressureless dust fluids of various grain sizes and their aerodynamic…

Earth and Planetary Astrophysics · Physics 2025-05-14 Chun-Yen Hsu , Zhi-Yun Li , Yisheng Tu , Xiao Hu , Min-Kai Lin

Self-gravitating stellar disks with random motion support both exponentially growing and, in some cases, purely oscillatory axisymmetric bending modes, unlike their cold disk counterparts. A razor-thin disk with even a very small degree of…

Astrophysics · Physics 2009-10-28 J A Sellwood

Dynamics of linear perturbations in a differentially rotating accretion disk with non-homogeneous vertical structure is investigated. It has been found that turbulent viscosity results in instability of both pinching oscillations, and…

Astrophysics · Physics 2007-05-23 A. V. Khoperskov , S. S. Khrapov

In the recent years, sub/mm observations of protoplanetary disks have discovered an incredible diversity of substructures in the dust emission. An important result was the finding that dust grains of mm size are embedded in very thin dusty…

Earth and Planetary Astrophysics · Physics 2021-06-23 Mario Flock , Andrea Mignone

We studied the dynamical influence of a dust component on the gaseous phase in central regions of galactic disks. Therefore, we performed two-dimensional hydrodynamical simulations for flat multi-component disks embedded in a stellar and…

Astrophysics · Physics 2007-05-23 Ch. Theis , N. Orlova

We investigate dust growth due to settling in a 1D vertical column of a protoplanetary disk. It is known from the observed 10 micron feature in disk SEDs, that small micron-sized grains are present at the disk atmosphere throughout the…

Earth and Planetary Astrophysics · Physics 2015-05-28 A. Zsom , C. W. Ormel , C. P. Dullemond , Th. Henning

Divergence and vorticity damping, which operate upon horizontal divergence and relative vorticity, are explicit diffusion mechanisms used in dynamical cores to ensure stability. To avoid numerical blow-up from excessively strong diffusion,…

Numerical Analysis · Mathematics 2026-02-19 Timothy C. Andrews , Christiane Jablonowski

In the present work fournontrivial stages of electrokinetic instability are identified by direct numerical simulation (DNS) of the full Nernst-Planck-Poisson-Stokes (NPPS) system: i) The stage of the influence of the initial conditions…

Fluid Dynamics · Physics 2015-03-19 E. A. Demekhin , V. S. Shelistov , S. V. Polyanskikh

In protoplanetary discs (PPDs) consisting of gas and dust particles, fluid instabilities induced by the drag force, including secular gravitational instability (SGI) can facilitate planet formation. Although SGI subject to the axisymmetric…

Astrophysics of Galaxies · Physics 2019-06-26 Mohsen Shadmehri , Razieh Oudi , Gohar Rastegarzadeh

This paper continues the systematic investigation of diffusive shear instabilities initiated in Part I of this series. In this work, we primarily focus on quantifying the impact of non-local mixing, which is not taken into account in Zahn's…

Solar and Stellar Astrophysics · Physics 2018-07-25 D. Gagnier , P. Garaud

Binary systems exert a gravitational torque on misaligned discs orbiting them, causing differential precession which may produce disc warping and tearing. While this is well understood for gas-only discs, misaligned cirumbinary discs of gas…

Earth and Planetary Astrophysics · Physics 2020-01-10 Hossam Aly , Giuseppe Lodato

The streaming instability is thought to play a central role in the early stages of planet formation by enabling the efficient bypass of a number of barriers hindering the formation of planetesimals. We present the first study exploring the…

Earth and Planetary Astrophysics · Physics 2019-06-19 Leonardo Krapp , Pablo Benítez-Llambay , Oliver Gressel , Martin E. Pessah

We discovered a new growth mode of dust grains to km-sized bodies in protoplanetary disks that evolve by viscous accretion and magnetically driven disk winds (MDWs). We solved an approximate coagulation equation of dust grains with…

Earth and Planetary Astrophysics · Physics 2021-03-17 Tetsuo Taki , Koh Kuwabara , Hiroshi Kobayashi , Takeru K. Suzuki

The viscously dominated, low Reynolds' number dynamics of multi-phase, compacting media can lead to nonlinear, dissipationless/dispersive behavior when viewed appropriately. In these systems, nonlinear self-steepening competes with wave…

Pattern Formation and Solitons · Physics 2014-01-31 Nicholas K. Lowman , Mark A. Hoefer

We perform local numerical experiments to investigate the nonlinear stability of thin, radially-stratified disks. We demonstrate the presence of radial convective instability when the disk is nearly in uniform rotation, and show that the…

Astrophysics · Physics 2009-11-13 Bryan M. Johnson , Charles F. Gammie

Enhancing the local dust-to-gas ratio in protoplanetary discs is a necessary first step to planetesimal formation. In laminar discs, dust settling is an efficient mechanism to raise the dust-to-gas ratio at the disc midplane. However,…

Earth and Planetary Astrophysics · Physics 2019-03-20 Min-Kai Lin

[abridged] Recent laboratory experiments indicate that destructive collisions of icy dust particles occur with much lower velocities than previously thought. When these new velocities are considered from laboratory experiments in dust…

Earth and Planetary Astrophysics · Physics 2021-01-20 Paola Pinilla , Christian T. Lenz , Sebastian M. Stammler

Linear and weakly nonlinear stability analyses of an externally shear-imposed, gravity-driven falling film over a uniformly heated wavy substrate are studied. The longwave asymptotic expansion technique is utilized to formulate a single…

Fluid Dynamics · Physics 2024-05-22 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera , G. P. Raja Sekhar

We propose a quantitative direct method to prove the local stability of a stationary solution for a rough differential equation and its regular discretization scheme. Using Doss-Sussmann technique and stopping time analysis, we provide…

Dynamical Systems · Mathematics 2025-09-24 Luu Hoang Duc , Phan Thanh Hong , Nguyen Dinh Cong

We investigate uncertainty growth and chaotic dynamics in statistically steady, stably stratified three-dimensional turbulence. Using direct numerical simulations of the Boussinesq equations, we quantify the divergence of initially…

Fluid Dynamics · Physics 2025-12-08 Mrinal Jyoti Powdel , Samriddhi Sankar Ray