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Eccentric Keplerian discs are believed to be unstable to three-dimensional hydrodynamical instabilities driven by the time-dependence of fluid properties around an orbit. These instabilities could lead to small-scale turbulence, and…

Earth and Planetary Astrophysics · Physics 2015-06-23 Adrian J. Barker , Gordon I. Ogilvie

The excitation of solar and solar-like g modes in non-relativistic stars by arbitrary external gravitational wave fields is studied starting from the full field equations of general relativity. We develop a formalism that yields the…

Solar and Stellar Astrophysics · Physics 2010-10-25 D. M. Siegel , M. Roth

Within the convection zone of a rotating star, the presence of the Coriolis force stabilizes long-wavelength convective modes. These modes, which would have been unstable if the star lacked rotation, are called overstable convective modes…

Solar and Stellar Astrophysics · Physics 2023-05-15 Bradley W. Hindman , Rekha Jain

Viscous fluids can dissipate and alter the propagation of gravitational waves, as well as modify the relaxation and stability properties of self-gravitating fluids. This is particularly relevant in order to understand the relaxation to…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Jaime Redondo-Yuste

Evidence from seismic studies, mineral physics, thermal evolution models and geomagnetic observations is inconclusive about the presence of a stably stratified layer at the top of the Earth's fluid outer core. Such a convectively stable…

Earth and Planetary Astrophysics · Physics 2025-10-28 Fleur Seuren , Santiago A. Triana , Jérémy Rekier , Véronique Dehant , Tim Van Hoolst

We show that sudden variations in the composition and structure of an hybrid star can be triggered by its rapid spin-down, induced by r-mode instabilities. The discontinuity of this process is due to the surface tension between hadronic and…

General Relativity and Quantum Cosmology · Physics 2011-05-23 A. Drago , G. Pagliara , Z. Berezhiani

Three-dimensional equatorial trapped waves excited by stellar isolation and the resulting equatorial superrotating jet in a vertical stratified atmosphere of a tidally-locked hot Jupiter are investigated. Taking the hot Jupiter HD 189733b…

Earth and Planetary Astrophysics · Physics 2015-06-19 Shang-Min Tsai , Ian Dobbs-Dixon , Pin-Gao Gu

Topology sheds new light on the emergence of unidirectional edge waves in a variety of physical systems, from condensed matter to artificial lattices. Waves observed in geophysical flows are also robust to perturbations, which suggests a…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Pierre Delplace , J. B. Marston , Antoine Venaille

Tidal dissipation in stars is one of the key physical mechanisms that drive the evolution of binary and multiple stars. As in the Earth oceans, it corresponds to the resonant excitation of their eigenmodes of oscillation and their damping.…

Solar and Stellar Astrophysics · Physics 2015-06-23 P. Auclair-Desrotour , S. Mathis , C. Le Poncin-Lafitte

We study modulational stability and instability in the Whitham equation, combining the dispersion relation of water waves and a nonlinearity of the shallow water equations, and modified to permit the effects of surface tension and constant…

Analysis of PDEs · Mathematics 2015-08-28 Vera Mikyoung Hur , Mathew A. Johnson

We consider the perturbations of a relativistic star as an initial-value problem. Having discussed the formulation of the problem (the perturbation equations and the appropriate boundary conditions at the centre and the surface of the star)…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Gabrielle Allen , Nils Andersson , Kostas D. Kokkotas , Bernard F. Schutz

Helices and spirals, prevalent across various systems, play a crucial role in characterizing symmetry, describing dynamics, and imparting unique functionalities, attributed to their inherent simplicity and chiral nature. A helical…

Quantum Gases · Physics 2025-10-22 Yosuke Minowa , Yuki Yasui , Tomo Nakagawa , Sosuke Inui , Makoto Tsubota , Masaaki Ashida

The Quasi-Biennial Oscillation (QBO) is understood to result from wave-mean-flow interactions, but the reasons for its relative stability remain a subject of ongoing debate. In addition, consensus has yet to be reached regarding the…

Atmospheric and Oceanic Physics · Physics 2023-11-23 Xavier Chartrand , Louis-Philippe Nadeau , Antoine Venaille

Star-planet tidal interactions play a significant role in the dynamical evolution of close-in planetary systems. We investigate the propagation and dissipation of tidal inertial waves in a stellar/planetary convective region. We take into…

Solar and Stellar Astrophysics · Physics 2017-10-25 A. Astoul , S. Mathis , C. Baruteau , Q. André

We revisit the global modes and instabilities of homogeneous rotating ellipsoidal fluid masses, which are the simplest global models of rotationally and tidally deformed gaseous planets or stars. The tidal flow in a short-period planet may…

Earth and Planetary Astrophysics · Physics 2016-04-20 Adrian J. Barker , Harry J. Braviner , Gordon I. Ogilvie

Context. Differential rotation has a strong influence on stellar internal dynamics and evolution, notably by triggering hydrodynamical instabilities, by interacting with the magnetic field, and more generally by inducing transport of…

Solar and Stellar Astrophysics · Physics 2018-07-25 Vincent Prat , Stéphane Mathis , Kyle Augustson , François Lignières , Jérôme Ballot , Lucie Alvan , Allan Sacha Brun

Rapidly rotating Be stars are observed as shell stars when the decretion disc is viewed edge on. Transitions between the two implies that the discs may be warped and precessing. Type II X-ray outbursts are thought to occur when the warped…

Solar and Stellar Astrophysics · Physics 2015-05-28 Rebecca G. Martin , J. E. Pringle , Christopher A. Tout , Stephen H. Lubow

In this fluid dynamics video prepared for the APS-DFD Gallery of Fluid Motion we study the Kelvin-Helmholtz instability for both Newtonian and viscoelastic jets. The nonlinear dynamics of the jet motion are slowed down by orders of…

Fluid Dynamics · Physics 2012-10-18 Bavand Keshavarz , Gareth McKinley

The stability of convection rolls in a fluid heated from below is limited by secondary instabilities, including the skew-varicose and crossroll instabilities. We observe a stability boundary defined by the same instabilities in stripe…

We report an experimental study of the instability of a nearly-resonant Kelvin mode forced by precession in a cylindrical vessel. The instability is detected above a critical precession ratio via the appearance of peaks in the temporal…

Fluid Dynamics · Physics 2019-03-13 Johann Herault , Andre Giesecke , Thomas Gundrum , Frank Stefani