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This study is devoted to the experimental analysis of the Strato-rotational Instability (SRI). This instability affects the classical cylindrical Couette flow when the fluid is stably stratified in the axial direction. In agreement with…

Astrophysics · Physics 2008-11-26 M. Le Bars , P. Le Gal

Floquet theory is used to describe the unstable spectrum at large scales of the beta-plane equation linearized about Rossby waves. Base flows consisting of one to three Rossby wave are considered analytically using continued fractions and…

Atmospheric and Oceanic Physics · Physics 2009-11-07 Youngsuk Lee , Leslie M. Smith

Turbulence and angular momentum transport in accretion disks remains a topic of debate. With the realization that dead zones are robust features of protoplanetary disks, the search for hydrodynamical sources of turbulence continues. A…

Earth and Planetary Astrophysics · Physics 2015-05-20 W. Lyra , H. Klahr

Astrophysical disks that are sufficiently cold and dense are linearly unstable to the formation of axisymmetric rings as a result of the disk's gravity. In practice, spiral structures are formed, which may in turn produce bound fragments.…

Earth and Planetary Astrophysics · Physics 2022-08-17 Hongping Deng , Gordon I. Ogilvie

Context. There have been a long string of efforts to understand the source of the variability observed in microquasars, especially concerning the elusive High-Frequency Quasi-Periodic Oscillation. These oscillations are among the fastest…

High Energy Astrophysical Phenomena · Physics 2015-06-12 F. H. Vincent , H. Meheut , P. Varniere , T. Paumard

The discrete baroclinic modes of quasigeostrophic theory are incomplete and the incompleteness manifests as a loss of information in the projection process. The incompleteness of the baroclinic modes is related to the presence of two…

Atmospheric and Oceanic Physics · Physics 2022-03-14 Houssam Yassin , Stephen M. Griffies

One of the most challenging steps in planet formation theory is the one leading to the formation of planetesimals of kilometre size. A promising scenario involves the existence of vortices able to concentrate a large amount of dust and…

Earth and Planetary Astrophysics · Physics 2015-06-11 H. Meheut , Z. Meliani , P. Varniere , W. Benz

We examine the convective stability of hydrodynamic discs with full stratification in the local approximation and in the presence of thermal diffusion (or relaxation). Various branches of the relevant axisymmetric dispersion relation…

Earth and Planetary Astrophysics · Physics 2016-04-27 Francesco Volponi

The streaming instability is the leading model for planetesimal formation in protoplanetary disks, but it typically operates within the first ~Myr. In the Solar System, however, some planetesimals (the chondrite parent bodies) formed 2-4…

Earth and Planetary Astrophysics · Physics 2026-05-29 Maya Tatarelli , Alessandro Morbidelli , Elena Lega

We find a linear instability of non-axisymmetric Rossby waves in a thin non-magnetized Keplerian disk when there is a local maximum in the radial profile of a key function ${\cal L}(r) \equiv {\cal F}(r) S^{2/\Gamma}(r)$, where ${\cal…

Astrophysics · Physics 2009-10-30 R. V. E. Lovelace , H. Li , S. A. Colgate , A. F. Nelson

The linear normal-mode stratorotational instability (SRI) is analytically reexamined in the inviscid limit where the length scales of horizontal disturbances are large compared their vertical and radial counterparts. Boundary conditions…

Astrophysics · Physics 2009-11-11 O. M. Umurhan

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

Magneto-rotational instability (MRI) and gravitational instability (GI) are the two principle routes to turbulent angular momentum transport in accretion disks. Protoplanetary disks may develop both. This paper aims to reinvigorate interest…

Earth and Planetary Astrophysics · Physics 2015-06-19 Min-Kai Lin

Magneto-rotational instability (MRI) is an important instability mechanism for rotating flows with magnetic fields. In particular, when the strength of the magnetic field tends to zero, the stability criterion for rotating flows is…

Analysis of PDEs · Mathematics 2024-10-28 Zhiwu Lin , Yucong Wang , Wenpei Wu

A Rossby-Haurwitz (RH) wave is an excitation mode of a fluid on a rotating spherical surface, which propagates westward in the rotating frame of reference. Motivated by the recent realization of the shell-shaped Bose-Einstein condensate in…

Quantum Gases · Physics 2023-03-22 Hiroki Saito , Masazumi Hayashi

Rossby waves arise due to the conservation of total vorticity in rotating fluids and may govern the large-scale dynamics of stellar interiors. Recent space missions collected huge information about the light curves and activity of many…

Solar and Stellar Astrophysics · Physics 2023-03-15 M. Albekioni , T. V. Zaqarashvili , V. Kukhianidze

We explore the near-resonant interaction of inertial waves with geostrophic modes in rotating fluids via numerical and theoretical analysis. When a single inertial wave is imposed, we find that some geostrophic modes are unstable above a…

Fluid Dynamics · Physics 2020-08-26 Thomas Le Reun , Basile Gallet , Benjamin Favier , Michael Le Bars

Three-dimensional instability of axisymmetric flow in a rotating disk - cylinder configuration is studied numerically for the case of low cylinders with the height/radius aspect ratio varying between 1 and 0.1. A complete stability diagram…

Fluid Dynamics · Physics 2015-04-28 A. Yu. Gelfgat

We examine the excitation of unstable magnetosonic waves in the radiative envelopes of intermediate- and high-mass stars with a magnetic field of ~kG strength. Wind clumping close to the star and microturbulence can often be accounted for…

Solar and Stellar Astrophysics · Physics 2018-04-04 Koushik Sen , Rodrigo Fernández , Aristotle Socrates

The vertical shear instability (VSI) is widely believed to be effective in driving turbulence in protoplanetary disks. Prior studies on VSI exclusively exploit the reflecting boundary conditions (BCs) at the disk surfaces. VSI depends…

Earth and Planetary Astrophysics · Physics 2024-09-13 Yuzi Wu , Cong Yu , Can Cui