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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

We study the shearing of polydisperse and bidisperse media with a size ratio of 10. Simulations are performed with a the two dimensional shear cell using contact dynamics. With a truncated power law for the polydisperse media we find that…

Soft Condensed Matter · Physics 2009-11-10 Martin Wackenhut , Sean McNamara , Hans Herrmann

We consider the nonlinear Schr\"odinger equation set on a flat torus, in the regime which is conjectured to lead to the kinetic wave equation; in particular, the data are random, and spread up to high frequency in a weakly nonlinear regime.…

Analysis of PDEs · Mathematics 2020-07-08 Charles Collot , Pierre Germain

We present a study of the spiral responses in a stable disc galaxy model to co-orbiting perturbing masses that are evenly spaced around rings. The amplitudes of the responses, or wakes, are proportional to the masses of the perturbations,…

Astrophysics of Galaxies · Physics 2021-09-01 J. A. Sellwood , R. G. Carlberg

We revisit the global linear theory of the vertical shear instability (VSI) in protoplanetary discs with an imposed radial temperature gradient. We focus on the regime in which the VSI has the form of a travelling inertial wave that grows…

Earth and Planetary Astrophysics · Physics 2025-01-24 Gordon I. Ogilvie , Henrik N. Latter , Geoffroy Lesur

The secular evolution of an infinitely thin tepid isolated galactic disc made of a finite number of particles is investigated using the inhomogeneous Balescu-Lenard equation expressed in terms of angle-action variables. The matrix method is…

Astrophysics of Galaxies · Physics 2015-12-09 Jean-Baptiste Fouvry , Christophe Pichon , John Magorrian , Pierre-Henri Chavanis

Propagation of three dimensional magnetosonic waves is considered for a homogeneous shear flow of an incompressible fluid. The analytical solutions for all magnetohydrodynamic variables are presented by confluent Heun functions. The problem…

Astrophysics of Galaxies · Physics 2010-12-13 T. M. Mishonov , Z. D. Dimitrov , Y. G. Maneva , T. S. Hristov

We demonstrate that in N-body simulations of isolated disc galaxies there is numerical vertical heating which slowly increases the vertical velocity dispersion and the disc thickness. Even for models with over a million particles in a disc,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 S. A. Rodionov , N. Ya. Sotnikova

Sweet-Parker current sheets in high Lundquist number plasmas are unstable to tearing, suggesting they will not form in physical systems. Understanding magnetic reconnection thus requires study of the stability of a current sheet as it…

Plasma Physics · Physics 2018-03-02 Elizabeth A. Tolman , Nuno F. Loureiro , Dmitri A. Uzdensky

Fluctuations in a stellar system's gravitational field cause the orbits of stars to evolve. The resulting evolution of the system can be computed with the orbit-averaged Fokker-Planck equation once the diffusion tensor is known. We present…

Astrophysics of Galaxies · Physics 2016-04-11 Jean-Baptiste Fouvry , James Binney , Christophe Pichon

The recent analytical of multi-layer analyses proposed by Sajjadi, Hunt and Drullion (2014) (SHD14) is solved numerically for atmospheric turbulent shear fows blowing over unsteady Stokes water waves, of low to moderate steepness. It is…

Fluid Dynamics · Physics 2017-04-10 Shahrdad G. Sajjadi , Sarena Robertson , Rebecca Harvey , Mary Brown

We describe a method to extract resonant orbits from N-body simulations exploiting the fact that they close in a frame rotating with a constant pattern speed. Our method is applied to the N-body simulation of the Milky Way by Shen et al.…

Astrophysics of Galaxies · Physics 2015-08-06 Matthew Molloy , Martin C. Smith , Juntai Shen , N. W. Evans

We study the dispersion of light particles floating on a flat shear-free surface of an open channel in which the flow is turbulent. This configuration mimics the motion of buoyant matter (e.g. phytoplankton, pollutants or nutrients) in…

Fluid Dynamics · Physics 2015-06-15 Salvatore Lovecchio , Cristian Marchioli , Alfredo Soldati

This paper reviews some aspects of one of the major unsolved problems in understanding astrophysical (in particular, accretion) disks: whether the disk interiors may be effectively viscous in spite of the absence of marnetorotational…

High Energy Astrophysical Phenomena · Physics 2015-12-31 Dmitry N. Razdoburdin , Viacheslav V. Zhuravlev

Scalar-tensor gravity theories with a nonminimal Gauss-Bonnet coupling typically lead to an anomalous propagation speed for gravitational waves, and have therefore been tightly constrained by multimessenger observations such as…

General Relativity and Quantum Cosmology · Physics 2019-12-18 José Barrientos , Fabrizio Cordonier-Tello , Cristóbal Corral , Fernando Izaurieta , Perla Medina , Eduardo Rodríguez , Omar Valdivia

An understanding of the long-term evolution of self-gravitating disks ranks among the classic outstanding problems of astrophysics. In this work, we show that the secular inclination dynamics of a geometrically thin quasi-Keplerian disk,…

Earth and Planetary Astrophysics · Physics 2018-03-14 Konstantin Batygin

The secular evolution of an infinitely thin tepid isolated galactic disc made of a finite number of particles is described using the inhomogeneous Balescu-Lenard equation. Assuming that only tightly wound transient spirals are present in…

Astrophysics of Galaxies · Physics 2015-09-30 Jean-Baptiste Fouvry , Christophe Pichon , Pierre-Henri Chavanis

Sawtooth oscillations can trigger off heat and turbulence pulses that propagate into the edge plasma, and thus enhancing the edge shear flow and inducing a transition from low confinement mode to high confinement mode. The influences of…

Thin elastic sheets bend easily, leading to mechanical instabilities such as wrinkling. Here, we investigate wrinkles at edges of bi-strips, which consist of two thin sheets, one that swells and one that does not, joined side-by-side. It is…

Soft Condensed Matter · Physics 2025-11-18 I. Levin , S. L. Keller

We study shock propagation in a system of initially stationary hard-spheres that is driven by a continuous injection of particles at the origin. The disturbance created by the injection of energy spreads radially outwards through collision…

Statistical Mechanics · Physics 2017-11-29 Jilmy P. Joy , Sudhir N. Pathak , Dibyendu Das , R. Rajesh