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Context: With the launch of space missions devoted to asteroseismology (like COROT), the scientific community will soon have accurate measurements of pulsation frequencies in many rapidly rotating stars. Aims: The present work focuses on…

Astrophysics · Physics 2008-11-26 D. Reese , F. Lignières , M. Rieutord

One interesting class of gravitational radiation sources includes rapidly rotating astrophysical objects that encounter dynamical instabilities. We have carried out a set of simulations of rotationally induced instabilities in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kimberly C. B. New , Joan M. Centrella

We present multidimensional modeling of convection and oscillations in main-sequence stars somewhat more massive than the Sun, using three separate approaches: 1) Using the 3-D planar StellarBox radiation hydrodynamics code to model the…

Solar and Stellar Astrophysics · Physics 2016-05-17 Joyce A. Guzik , T. H. Morgan , N. J. Nelson , C. Lovekin , K. Kosak , I. N. Kitiashvili , N. N. Mansour , A. Kosovichev

Motivated by the dynamics in the deep interiors of many stars, we study the interaction between overshooting convection and the large-scale poloidal fields residing in radiative zones. We have run a suite of 3D Boussinesq numerical…

Solar and Stellar Astrophysics · Physics 2021-02-24 Lydia Korre , Nicholas H. Brummell , Pascale Garaud , Celine Guervilly

Thermohaline convection is a standard chemical mixing process in stellar interiors, yet its mixing efficiency is not fully settled. Competing theories predict turbulent diffusion coefficients, $D_\mu$, that can differ by orders of…

Solar and Stellar Astrophysics · Physics 2026-05-06 Valentin A. Skoutnev

We study convective stability of a two-front superposition in a reaction-diffusion system. Due to the instability of the connecting equilibrium, long-range semi-strong interaction is expected between the two waves. When restricting to the…

Analysis of PDEs · Mathematics 2026-05-27 Louis Garénaux , Bastian Hilder

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

In the present paper we consider convection and cracking instabilities as well as their interplay. We develop a simple criterion to identify equations of state unstable to convection, and explore the influence of buoyancy on cracking (or…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Héctor Hernández , Luis A. Núñez , Adriana Vásquez-Ramírez

A spherically symmetric hydrodynamic stellar core collapse under gravity is time-dependent and may become unstable once disturbed. Specifically for a homologously collapse of stellar core characterized by a polytropic exponent \Gamma=4/3,…

Solar and Stellar Astrophysics · Physics 2013-10-10 Yu-Qing Lou , Biao Lian

Rotation deeply impacts the structure and the evolution of stars. To build coherent 1D or multi-D stellar structure and evolution models, we must systematically evaluate the turbulent transport of momentum and matter induced by…

Solar and Stellar Astrophysics · Physics 2025-01-10 Junho Park , Stéphane Mathis

Barotropic rotation and radiative equilibrium are mutually incompatible in stars. The issue is often addressed by allowing for a meridional circulation, but this is not devoid of theoretical complications. Models of rotation in the Sun…

Solar and Stellar Astrophysics · Physics 2016-02-17 Andrea Caleo , Steven A. Balbus

Magnetic fields are at the heart of the observed stellar activity in late-type stars, and they are presumably generated by a dynamo mechanism at the interface layer between the radiative and the convective stellar regions. Since dynamo…

Solar and Stellar Astrophysics · Physics 2015-05-18 N. R. Landin , L. T. S. Mendes , L. P. R. Vaz

A weakly nonlinear fluid wave propagating within a star can be unstable to three-wave interactions. The resonant parametric instability is a well-known form of three-wave interaction in which a primary wave of frequency $\omega_a$ excites a…

Solar and Stellar Astrophysics · Physics 2015-09-29 Nevin N. Weinberg , Phil Arras , Joshua Burkart

We develop equations and obtain solutions for the structure and evolution of a protodisc region that is initially formed with no radial motion and super-Keplerian rotation speed when wind material from a hot rotating star is channelled…

Astrophysics · Physics 2015-05-13 M. Maheswaran , J. P. Cassinelli

The question is addressed whether stellar differentially rotating radiative zones (like the solar tachocline) excite nonaxisymmetric r-modes which can be observed. To this end the hydrodynamical stability of latitudinal differential…

Solar and Stellar Astrophysics · Physics 2015-05-13 L. L. Kitchatinov , G. Rüdiger

The stellar Rossby number, a dimensionless parameter quantifying the influence of Coriolis forces on convective motions, plays a pivotal role in understanding magnetic stellar evolution. In this work, we explore the connection between the…

Solar and Stellar Astrophysics · Physics 2025-10-15 Alfio Bonanno , Enrico Corsaro , Travis S. Metcalfe , Sylvain Breton , Orlagh L. Creevey , Christopher J. Lindsay

We model a rotating star as a compressible fluid subject to gravitational forces. In almost all the mathematical literature the entropy is considered to be constant. Here we allow it to be variable. We consider a star that steadily rotates…

Analysis of PDEs · Mathematics 2022-04-19 Juhi Jang , Walter A. Strauss , Yilun Wu

After the recent detection of solar equatorial Rossby waves, a renewed interest has been brought to the study of gravito-inertial waves propagating in the convective envelope of solar-type stars. In particular, the ability that some of…

Within the framework of non-local time-dependent stellar convection theory, we study in detail the effect of turbulent anisotropy on stellar pulsation stability. The results show that anisotropy has no substantial influence on pulsation…

Solar and Stellar Astrophysics · Physics 2018-08-30 C. Zhang , L. Deng , D. R. Xiong

The envelopes of stars near the Eddington limit are prone to various instabilities. A high Eddington factor in connection with the Fe opacity peak leads to convective instability, and a corresponding envelope inflation may induce…