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Related papers: Stable Magnetic Fields in Static Stars

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Physical experiments and numerical simulations have revealed a remarkable stabilizing phenomenon: a background magnetic field stabilizes and dampens electrically conducting fluids. This paper provides a rigorous mathematical justification…

Analysis of PDEs · Mathematics 2025-10-29 Qunyi Bie , Hui Fang , Yanping Zhou

The article discusses the steady motion of a rigid disk of finite thickness rolling on its edge on a horizontal plane under the influence of gravity. The governing equations are presented and two cases allowing for a steady state solution…

Classical Physics · Physics 2014-11-18 Milan Batista

A small fraction of intermediate-mass main sequence (A and B type) stars have strong, organised magnetic fields. The large majority of such stars, however, show no evidence for magnetic fields, even when observed with very high precision.…

Axisymmetric magnetohydrodynamics (MHD) can be invoked for describing astrophysical magnetized flows and formulated to model stellar magnetospheres including main sequence stars (e.g. the Sun), compact stellar objects [e.g. magnetic white…

Solar and Stellar Astrophysics · Physics 2014-03-05 Lile Wang , Yu-Qing Lou

We explore the stability properties of multi-field solutions in the presence of a perfect fluid, as appropriate to assisted quintessence scenarios. We show that the stability condition for multiple fields $\phi_i$ in identical potentials…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Jonathan Frazer , Andrew R Liddle

We further develop the Tayler--Spruit dynamo theory, based on the most efficient instability for generating magnetic fields in radiative layers of differentially rotating stars. We avoid the simplifying assumptions that either the $\mu$--…

Astrophysics · Physics 2009-11-10 Andre Maeder , Georges Meynet

Enormous progress has been made on observing stellar magnetism in stars from the main sequence through to compact objects. Recent data have thrown into sharper relief the vexed question of the origin of stellar magnetic fields, which…

Solar and Stellar Astrophysics · Physics 2015-06-24 Lilia Ferrario , Andrew Melatos , Jonathan Zrake

We present an argument for proving the existence of local stable and unstable manifolds in a general abstract setting and under very weak hyperbolicity conditions.

Dynamical Systems · Mathematics 2012-11-07 Mark Holland , Stefano Luzzatto

The description of a stellar system as a continuous fluid represents a convenient first approximation to stellar dynamics, and its derivation from the kinetic theory is standard. The challenge lies in providing adequate closure…

Astrophysics · Physics 2007-05-23 Edward A. Spiegel , Jean-Luc Thiffeault

We study the influence of strong magnetic fields in hybrid stars, composed by hadrons and a pure quark matter core, and analyse their structure and stability as well as some possible evolution channels due to the magnetic field decay. Using…

High Energy Astrophysical Phenomena · Physics 2019-09-30 Mauro Mariani , Milva G. Orsaria , Ignacio F. Ranea-Sandoval , Germán Lugones

This paper provides a brief overview of the formation of stellar fossil magnetic fields and what potential instabilities may occur given certain configurations of the magnetic field. In particular, a purely magnetic instability can occur…

Solar and Stellar Astrophysics · Physics 2016-10-28 Kyle Augustson , Stephane Mathis , Antoine Strugarek

The gas from which stars form is magnetized, and strong magnetic fields can efficiently transport angular momentum. Most theoretical models of this phenomenon find that it should prevent formation of large (>100 AU), rotationally-supported…

Solar and Stellar Astrophysics · Physics 2015-06-12 Mark R. Krumholz , Richard M. Crutcher , Charles L. H. Hull

Various types of magnetic fields occur in stars: small scale fields, large scale fields, and internal toroidal fields. While the latter may be ubiquitous in stars due to differential rotation, small scale fields (spots) may be associated…

Solar and Stellar Astrophysics · Physics 2015-06-18 N. Langer

Magnetohydrodynamic instabilities can be responsible for the formation of structures with various scales in astrophysical jets. We consider the stability properties of jets containing both the azimuthal and axial field of subthermal…

High Energy Astrophysical Phenomena · Physics 2015-05-14 Alfio Bonanno , Vadim Urpin

We report on the status of our spectropolarimetric observations of massive stars. During the last years, we have discovered magnetic fields in many objects of the upper main sequence, including Be stars, beta Cephei and Slowly Pulsating B…

Solar and Stellar Astrophysics · Physics 2015-05-30 M. Schoeller , S. Hubrig , I. Ilyin , N. V. Kharchenko , M. Briquet , N. Langer , L. M. Oskinova , the MAGORI collaboration

We consider the dynamics of two layers of incompressible electrically conducting fluid interacting with the magnetic field, which are confined within a 3D horizontally infinite slab and separated by a free internal interface. We assume that…

Analysis of PDEs · Mathematics 2017-06-22 Yanjin Wang

This paper deals with the spherically symmetric self-gravitating star which is considered to be expansion free dissipative perfect fluids distribution. Some recent research reveals that expansion free dynamical star must be accelerating and…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Rajesh Kumar , S. K. Srivastava

Stable ring solutions supported by the angular momentum caused by superconducting charge and current have been suggested to exist in the gauged $U(1)\times U(1)$ field theory. We construct potentially cosmologically relevant solutions using…

High Energy Physics - Phenomenology · Physics 2021-12-22 R. A. Battye , S. J. Cotterill

We establish various qualitative properties of liquid Lane-Emden stars in $\mathbb{R}^d$, including bounds for its density profile $\rho$ and radius $R$. Using them we prove that against radial perturbations, the liquid Lane-Emden stars are…

Analysis of PDEs · Mathematics 2023-05-11 King Ming Lam

Under the hydrodynamic equilibrium Buchdahl's conditions on the behavior of the density and the pressure, for regular fluid static circularly symmetric star in (2 + 1) dimensions in the presence of a cosmological constant, is established…

General Relativity and Quantum Cosmology · Physics 2014-12-19 Alberto A. Garcia Diaz