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It is difficult to imagine a planet formation model that does not at some stage include a gravitationally unstable disc. Initially unstable gas-dust discs may form planets directly, but the high surface density required has motivated the…

Astrophysics · Physics 2009-11-13 Alexander Hubbard , Eric G. Blackman

In this paper, we want to study the tidal effect of an external perturber upon a disc galaxy based on the generalization of already used Keplerian potential. The generalization of the simple ideal Keplerian potential includes an orbital…

General Physics · Physics 2015-11-09 M. Alavi , H. Razmi

We deal with the incompressible Navier-Stokes equations, in two and three dimensions, when some vortex patches are prescribed as initial data i.e. when there is an internal boundary across which the vorticity is discontinuous. We show…

Analysis of PDEs · Mathematics 2008-12-12 Franck Sueur

We introduce a phenomenological, physically motivated, model for the effective tidal deformability of a neutron star, adding the frequency dependence (associated with the star's fundamental mode of oscillation) that comes into play during…

General Relativity and Quantum Cosmology · Physics 2021-02-09 N. Andersson , P. Pnigouras

Spin-orbit misalignments have been detected in exoplanetary systems and binary star systems. Tidal interactions may have played an important role in the evolution of the spin-orbit angle. In this study, we investigate the tidal interactions…

Earth and Planetary Astrophysics · Physics 2017-04-12 Yufeng Lin , Gordon Ogilvie

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

Spatially resolved observations of protoplanetary discs are revealing that their inner regions can be warped or broken from the outer disc. A few mechanisms are known to lead to such 3D structures; among them, the interaction with a stellar…

Solar and Stellar Astrophysics · Physics 2017-12-06 Stefano Facchini , Attila Juhász , Giuseppe Lodato

Gravitational instabilities play an important role in galaxy evolution and in shaping the interstellar medium (ISM). The ISM is observed to be highly turbulent, meaning that observables like the gas surface density and velocity dispersion…

Astrophysics of Galaxies · Physics 2015-06-23 Oscar Agertz , Alessandro B. Romeo , Kearn Grisdale

This two-part review summarizes interstellar turbulence and its implications. The first part begins with diagnostics and energy sources. Turbulence theory is considered in detail, including the basic fluid equations, solenoidal and…

Astrophysics · Physics 2008-11-26 Bruce G. Elmegreen , John Scalo

We consider dynamical effects of additional perturbative forces due to the non-point mass nature of stars and planets: effects such as quadrupolar distortion and tidal friction in the systems of exo-planets. It is shown that these forces…

Astrophysics · Physics 2009-11-06 L. Kiseleva-Eggleton , E. Bois

We present a detailed study of the growth of the Parker instability in a differentially rotating disk embedded in an azimuthal equilibrium magnetic field, such as the interstellar gas or an accretion disk. Basic properties of the…

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

We present local numerical models of accretion disk turbulence driven by the magnetorotational instability with varying shear rate. The resulting turbulent stresses are compared with predictions of a closure model in which triple…

Astrophysics · Physics 2009-01-17 A. J. Liljeström , M. J. Korpi , P. J. Käpylä , A. Brandenburg , W. Lyra

We extend the model of King et al. (2004) for variability in black hole accretion discs, by taking proper account of the thermal properties of the disc. Because the degree of variability in the King et al. (2004) model depends sensitively…

Astrophysics · Physics 2009-11-11 M. Mayer , J. E. Pringle

Accretion disks in binary systems can exhibit a tilt instability, arising from the interaction between components of the tidal potential and dissipation. Using a linear analysis, we show that the aspect ratios and outer radii of…

Earth and Planetary Astrophysics · Physics 2020-08-05 Rebecca G. Martin , Zhaohuan Zhu , Philip J. Armitage

We model the overall shape of an accretion disc in a semi-detached binary system in which mass is transfered on to a spinning black hole the spin axis of which is misaligned with the orbital rotation axis. We assume the disc is in a steady…

High Energy Astrophysical Phenomena · Physics 2015-05-13 Rebecca G. Martin , J. E. Pringle , Christopher A. Tout

We derive a course grained, continuum model of the 2D vertex model, applicable for different underlying geometries, and allowing for analytical analysis of an otherwise numerical model. Using a geometric approach and out--of--equilibrium…

Soft Condensed Matter · Physics 2022-08-31 Doron Grossman , Jean-Francois Joanny

We perform full-scale numerical simulation of instability of weakly nonlinear waves on the surface of deep fluid. We show that the instability development leads to chaotization and formation of wave turbulence. We study instability both of…

Computational Physics · Physics 2022-06-03 A. O. Korotkevich , A. I. Dyachenko , V. E. Zakharov

Recent studies suggest that coalescing neutron stars are subject to a fluid instability involving the nonlinear coupling of the tide to $p$-modes and $g$-modes. Its influence on the inspiral dynamics and thus the gravitational wave signal…

High Energy Astrophysical Phenomena · Physics 2016-12-07 Reed Essick , Salvatore Vitale , Nevin N. Weinberg

Radial transport of particles, elements and fluid driven by internal stresses in three-dimensional (3D) astrophysical accretion disks is an important phenomenon, potentially relevant for the outward dust transport in protoplanetary disks,…

High Energy Astrophysical Phenomena · Physics 2017-03-15 Alexander A. Philippov , Roman R. Rafikov

Many natural and engineering systems involve the mixing of two fluid streams, in which the effects of density and viscosity gradients play important roles in determining flow stability. We perform linear stability calculations for a jet…

Fluid Dynamics · Physics 2023-02-08 Jinwei Yang , Vinod Srinivasan
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