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This paper is concerned with the stability and large-time behavior of 3D incompressible MHD equations with only vertical dissipation near a background magnetic field. By making full use of the dissipation generated by the background…

偏微分方程分析 · 数学 2024-03-13 Suhua Lai , Jiahong Wu , Jianwen Zhang , Xiaokui Zhao

Solar flares are powerful radiations occuring in the Sun's atmosphere. They are powered by magnetic reconnection, a phemonenon that can convert magnetic energy into other forms of energy such as heat and kinetic energy, and it is believed…

太阳与恒星天体物理 · 物理学 2017-02-08 Miho Janvier

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…

太阳与恒星天体物理 · 物理学 2014-03-05 Lile Wang , Yu-Qing Lou

Context: Coronal magnetic null points have been implicated as possible locations for localised heating events in 2D models. We investigate this possibility about fully 3D null points. Aims: We investigate the nature of the fast…

太阳与恒星天体物理 · 物理学 2012-08-30 J. O. Thurgood , J. A. McLaughlin

The ideal MHD theorem on the conservation of the magnetic connections between plasma elements is generalized to relativistic plasmas in curved spacetime. The connections between plasma elements, which are established by a covariant…

等离子体物理 · 物理学 2017-12-13 Felipe A. Asenjo , Luca Comisso

It is shown that incompressible spin quantum Hall magnetohydrodynamics allows an exact solution for the propagation of a circularly polarized electromagnetic wave. The solution is obtained assuming a condition between the fluid velocity and…

等离子体物理 · 物理学 2010-10-19 Felipe A. Asenjo

This paper deals with the solution of Maxwell's equations to model the electromagnetic fields in the case of a layered earth. The integrals involved in the solution are approximated by means of a novel approach based on the splitting of the…

数值分析 · 数学 2023-01-04 Eleonora Denich , Paolo Novati , Stefano Picotti

The magnetic field from a uniformly magnetised, rectangular prism is known exactly, which is the basis for a large number of micromagnetic simulations. Here we derive an analytical solution for the field from a periodically repeating…

材料科学 · 物理学 2026-04-15 Frederik Laust Durhuus , Andrea Roberto Insinga , Rasmus Bjørk

This paper investigates the stabilization effect of a background magnetic vorticity on electrically conducting fluids. By exploring the dissipation nature of the linearized equations, we prove the global existence of smooth solutions to the…

偏微分方程分析 · 数学 2023-11-16 Yuanyuan Qiao , Yi Zhou

Many magnetic structures in the solar atmosphere evolve rather slowly so that they can be assumed as (quasi-)static or (quasi-)stationary and represented via magneto-hydrostatic (MHS) or stationary magneto-hydrodynamic (MHD) equilibria,…

太阳与恒星天体物理 · 物理学 2017-03-15 Dieter H. Nickeler , Thomas Wiegelmann , Marian Karlicky , Michaela Kraus

Magnetic reconnection can power bright, rapid flares originating from the inner magnetosphere of accreting black holes. We conduct extremely high resolution ($5376\times2304\times2304$ cells) general-relativistic magnetohydrodynamics…

We present a novel magnetohydrostatic numerical model that solves directly for the force-balanced magnetic field in the solar corona. This model is constructed with Radial Basis Function Finite Differences (RBF-FD), specifically 3D…

太阳与恒星天体物理 · 物理学 2022-05-11 Nathaniel H. Mathews , Natasha Flyer , Sarah E. Gibson

This paper focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed partial dissipation and magnetic diffusion. Our main result assesses the global stability of perturbations near the steady solution given by a…

偏微分方程分析 · 数学 2019-06-13 Jiahong Wu , Yi Zhu

Accreting supermassive black holes can now be observed at the event-horizon scale at mm wavelengths. Current predictions for the image rely on hypotheses (fluid modeling, thermal electrons) which might not always hold in the vicinity of the…

高能天体物理现象 · 物理学 2022-11-23 Benjamin Crinquand , Benoît Cerutti , Guillaume Dubus , Kyle Parfrey , Alexander A. Philippov

Equations of magneto-gasdynamics in the natural curvilinear system of coordinates where trajectories and magnetic lines play a role of coordinate curves are reduced to the nonlinear vector wave equation coupled with the incompressibility…

数学物理 · 物理学 2011-06-01 Sergey V. Golovin

Magnetic-field reconnection is believed to play a fundamental role in magnetized plasma systems throughout the Universe1, including planetary magnetospheres, magnetars and accretion disks around black holes. This letter present extreme…

太阳与恒星天体物理 · 物理学 2015-02-06 Yang Su , Astrid M. Veronig , Gordon D. Holman , Brian R. Dennis , Tongjiang Wang , Manuela Temmer , Weiqun Gan

\large{\bf Abstract-} Unsteady Hall Magnetohydrodynamics (MHD) near a hyperbolic magnetic neutral line is investigated. An exact analytical solution describing a self-similar evolution is given. This solution shows a negligible impact on…

等离子体物理 · 物理学 2008-08-29 Bhimsen K. Shivamoggi

We construct examples of smooth periodic solutions to the Magnetohydrodynamic equations in dimension 2 with positive resistivity for which the topology of the magnetic lines changes under the flow. By Alfv\'en's theorem this is known to be…

偏微分方程分析 · 数学 2024-10-10 Gennaro Ciampa

A broad variety of observational methods allows us to see the effect of magnetic reconnection in high-temperature strongly-magnetized plasma of the solar corona. Some specific features of the large-scale reconnection in large solar flares…

太阳与恒星天体物理 · 物理学 2011-02-23 B. V. Somov , S. I. Bezrodnykh , L. S. Ledentsov

Accurate angular quadratures are crucial for the numerical solution of three-dimensional (3D) radiative transfer problems, especially when the spectral line polarisation produced by the scattering of anisotropic radiation is included. There…

太阳与恒星天体物理 · 物理学 2021-01-27 Jaume Jaume Bestard , Jiří Štěpán , Javier Trujillo Bueno