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In one-dimensional anharmonic lattices, we construct nonlinear standing waves (SWs) reducing to harmonic SWs at small amplitude. For SWs with spatial periodicity incommensurate with the lattice period, a transition by breaking of…

Pattern Formation and Solitons · Physics 2009-10-31 Anna Maria Morgante , Magnus Johansson , Georgios Kopidakis , Serge Aubry

Large-scale Rossby waves have recently been discovered from measurements of horizontal surface and near-surface solar flows (L\"optien at al. 2018). We are interested in understanding why only the sectoral modes are seen in the observations…

Solar and Stellar Astrophysics · Physics 2020-05-20 C. Damiani , R. H. Cameron , A. C. Birch , L. Gizon

Several simulations of turbulence in the Large Plasma Device (LAPD) [W. Gekelman et al., Rev. Sci. Inst. 62, 2875 (1991)] are energetically analyzed and compared with each other and with the experiment. The simulations use the same model,…

Plasma Physics · Physics 2013-05-16 B. Friedman , T. A. Carter , M. V. Umansky , D. Schaffner , I. Joseph

Using local three dimensional radiation hydrodynamics simulations, the nonlinear outcome of gravitational instability in an irradiated protoplanetary disc is investigated in a parameter space of the surface density $\Sigma$ and the radius…

Earth and Planetary Astrophysics · Physics 2019-01-23 Shigenobu Hirose , Ji-Ming Shi

The vertical shear instability (VSI) is a robust phenomenon in irradiated protoplanetary disks (PPDs). The majority of previous numerical simulations have focused on the turbulent properties of its saturated state. However, the saturation…

Earth and Planetary Astrophysics · Physics 2022-06-22 Eleonora Svanberg , Can Cui , Henrik N. Latter

Self-gravitating relativistic disks around black holes can form as transient structures in a number of astrophysical scenarios such as binary neutron star and black hole-neutron star coalescences, as well as the core-collapse of massive…

High Energy Astrophysical Phenomena · Physics 2011-02-23 Oleg Korobkin , Ernazar B. Abdikamalov , Erik Schnetter , Nikolaos Stergioulas , Burkhard Zink

As accretion in protoplanetary disks is enabled by turbulent viscosity, the border between active and inactive (dead) zones constitutes a location where there is an abrupt change in the accretion flow. The gas accumulation that ensues…

Earth and Planetary Astrophysics · Physics 2009-11-13 W. Lyra , A. Johansen , A. Zsom , H. Klahr , N. Piskunov

Recent observations of large-scale asymmetric features in protoplanetary disks suggest that large-scale vortices exist in such disks. Massive planets are known to be able to produce deep gaps in protoplanetary disks. The gap edges could…

Earth and Planetary Astrophysics · Physics 2014-06-11 Wen Fu , Hui Li , Stephen Lubow , Shengtai Li

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

Fluid Dynamics · Physics 2020-04-09 Alexander Gelfgat , Neima Brauner

Models of the accretion disks of Young Stellar Objects show that they should not be ionized at a few AU from the star, and thus not subject to the MHD turbulence believed to cause accretion. This has been suggested to create a 'Dead Zone'…

Astrophysics · Physics 2009-11-11 P. varniere , M. Tagger

Many accretion discs have been found to be distorted: either warped due a misalignment in the system, or non-circular as a result of orbital eccentricity or tidal deformation by a binary companion. Warped, eccentric, and tidally distorted…

Solar and Stellar Astrophysics · Physics 2024-09-19 Loren E. Held , Gordon I. Ogilvie

If sufficiently irradiated by its central star, a protoplanetary disks falls into an equilibrium state exhibiting vertical shear. This state may be subject to a hydrodynamical instability, the `vertical shear instability' (VSI), whose…

Earth and Planetary Astrophysics · Physics 2021-09-22 Henrik N. Latter , John Papaloizou

We study the evolution of planet-induced vortices in radially stratified disks, with initial conditions allowing for radial buoyancy. For this purpose we run global two dimensional hydrodynamical simulations, using the PLUTO code.…

Earth and Planetary Astrophysics · Physics 2015-09-09 A. Lobo Gomes , H. Klahr , A. L. Uribe , P. Pinilla , C. Surville

The results of numerical simulations of the Hasegawa-Wakatani equation demonstrate that, similarly to decaying turbulence in 2D fluids, at a small electron adiabaticity parameter, the resistive-drift-wave (RDW) turbulence is dominated by…

Plasma Physics · Physics 2026-03-26 S. I. Krasheninnikov , R. D. Smirnov

We carry out local three dimensional (3D) hydrodynamic simulations of planet-disk interaction in stratified disks with varied thermodynamic properties. We find that whenever the Brunt-Vaisala frequency (N) in the disk is nonzero, the planet…

Earth and Planetary Astrophysics · Physics 2015-06-11 Zhaohuan Zhu , James M. Stone , Roman R. Rafikov

The hydrodynamic stability of accretion disks is considered. The particular question is whether the combined action of a (stable) vertical density stratification and a (stable) radial differential rotation gives rise to a new instability…

Astrophysics · Physics 2016-08-16 G. Rüdiger , R. Arlt , D. Shalybkov

Two-dimensional nonlinear gravity waves travelling in shallow water on a vertically sheared current of constant vorticity are considered. Using Euler equations, in the shallow water approximation, hyperbolic equations for the surface…

Fluid Dynamics · Physics 2018-07-04 Christian Kharif , Malek Abid

Protoplanetary discs should exhibit a weak vertical variation in their rotation profiles. Typically this `vertical shear' issues from a baroclinic effect driven by the central star's radiation field, but it might also arise during the…

Earth and Planetary Astrophysics · Physics 2022-01-26 Henrik N. Latter , Matthew W. Kunz

Geophysical turbulent flows, characterized by rapid rotation, quantified by small Rossby number, and stable stratification, often self-organize into a collection of coherent vortices, referred to as a vortex gas. The lowest order asymptotic…

Fluid Dynamics · Physics 2022-02-14 Jeffrey B. Weiss

The interaction between gas and dust in protoplanetary disks (PPDs) plays a crucial role in setting the stage of planet formation. In particular, the streaming instability (SI) is well recognized as the mechanism for planetesimal formation…

Earth and Planetary Astrophysics · Physics 2025-04-25 Pinghui Huang , Xue-Ning Bai