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Related papers: Shear Alfv\'en Waves in Chaotic Magnetic Fields

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The radial structure of the continuous spectrum of shear Alfven waves is calculated in this paper within the separatrix of a magnetic island. Geometrical effects due to the noncircularity of the flux surface's cross section are retained to…

Plasma Physics · Physics 2015-05-20 Alessandro Biancalani , Liu Chen , Francesco Pegoraro , Fulvio Zonca

The equations describing the continuous spectrum of shear Alfv\'en and ion sound waves propagating along magnetic field lines are introduced and solved in the ballooning space for general geometry in the ideal MHD limit. This approach is…

Plasma Physics · Physics 2019-09-11 Matteo Valerio Falessi , Nakia Carlevaro , Valeria Fusco , Gregorio Vlad , Fulvio Zonca

The propagation of shear Alfven wave packets in inhomogeneous magnetic fields, at the origin of their distortion, regardless of the occurrence of non-linear coupling, is considered. It is shown that the distortion mechanism can be regarded…

Astrophysics · Physics 2008-10-23 Nicolas Bian , David Tsiklauri

We performed three-dimensional magnetohydrodynamic simulations of shear Alfven waves in a full field line system with magnetosphere-ionosphere coupling and plasma non-uniformities. Feedback instability of the Alfven resonant modes showed…

Space Physics · Physics 2015-06-23 Yasutaka Hiraki

The radial structure of the continuous spectrum of shear Alfven modes is calculated in the presence of a magnetic island in tokamak plasmas. Modes with the same helicity of the magnetic island are considered in a slab model approximation.…

Plasma Physics · Physics 2015-05-19 Alessandro Biancalani , Liu Chen , Francesco Pegoraro , Fulvio Zonca

We show that a helical shear flow of a magnetized plasma may serve as an efficient amplifier of Alfven waves. We find that even when the flow is purely ejectional (i.e., when no rotation is present) Alfven waves are amplified through the…

Astrophysics · Physics 2009-11-07 Andria D. Rogava , Swadesh M. Mahajan , Gianluigi Bodo , Silvano Massaglia

In a magnetised plasma on scales well above ion kinetic scales, any constant-magnitude magnetic field, accompanied by parallel Alfv\'enic flows, forms a nonlinear solution in an isobaric, constant-density background. These structures, which…

Solar and Stellar Astrophysics · Physics 2022-09-01 Jonathan Squire , Alfred Mallet

We have derived the full set of MHD equations for incompressible shear flow of a magnetized fluid and considered their solution in the wave-vector space. The linearized equations give the famous amplification of slow magnetosonic waves and…

Plasma Physics · Physics 2015-05-27 Z. D. Dimitrov , Y. G. Maneva , T. S. Hristov , T. M. Mishonov

We consider the ideal magnetohydrodynamics (MHD) subjected to a strong magnetic field along $x_1$ direction in three-dimensional thin domains $\Omega_\delta=\mathbb{R}^2\times(-\delta,\delta)$ with slip boundary conditions. It is well-known…

Analysis of PDEs · Mathematics 2018-04-02 Li Xu

The shear Alfv\'en wave (SAW) continuum plays a critical role in the stability of energetic particle-driven Alfv\'{e}n eigenmodes. We develop a theoretical framework to analyze the SAW continuum in three-dimensional quasisymmetric magnetic…

The coupled motion between the hydrodynamic flow and magnetic field introduces significant complexity into the structure of the magnetohydrodynamic (MHD) equations. A key factor contributing to this complexity is the presence of Alfv\'en…

Analysis of PDEs · Mathematics 2025-10-15 Shangkun Weng , Wengang Yang

The purpose of this paper is to solve the inverse scattering problem of nonlinear Alfv\'en waves governed by the three dimensional ideal incompressible MHD system. Bridging together geometric methods and weighted energy estimates, we…

Analysis of PDEs · Mathematics 2022-12-07 Mengni Li

Using a 2D Viscoresistive Reduced MagnetoHydroDynamic (VR-RMHD) model, the magnetic island coalescence problem is studied in the presence of in-plane, parallel shear flows. Extending the analytical work of Waelbroeck et al [33] and…

Plasma Physics · Physics 2021-10-14 Jagannath Mahapatra , Arkaprava Bokshi , Rajaraman Ganesh , Abhijit Sen

We consider a series of MHD simulations in which a small amplitude, transverse velocity perturbation is introduced into a complex magnetic field. We analysed the deformation of the wave fronts as the perturbation propagates through the…

Solar and Stellar Astrophysics · Physics 2019-09-11 Thomas Howson , Ineke De Moortel , Jack Reid , Alan Hood

Special features of magnetohydrodynamic waves linear dynamics in smooth shear flows are studied. Quantitative asymptotic and numerical analysis are performed for wide range of system parameters when basic flow has constant shear of velocity…

Astrophysics · Physics 2016-08-30 G. Gogoberidze , G. D. Chagelishvili , R. Z. Sagdeev , D. G. Lominadze

The evolution of a linearly-polarized, long-wavelength Alfv\'en wave --propagating in a collisionless magnetized plasma with a sheared parallel-directed velocity flow-- is here studied by means of two-dimensional hybrid Vlasov-Maxwell (HVM)…

The effect of magnetic shear and shear flow on local gravitationally induced instabilities is investigated. A simple model is constructed allowing for an arbitrary entropy gradient and a shear plasma flow in the Boussinesq approximation. A…

Astrophysics · Physics 2009-11-06 Gregory G. Howes , Steven C. Cowley , James C. McWilliams

We investigate magnetohydrodynamic (MHD) turbulence in plane shear flows with a streamwise background magnetic field in the super-Alfv\'enic regime. We show that the large-scale velocity shear suppresses turbulence imbalance, driving the…

Space Physics · Physics 2026-02-17 M. Kavtaradze , G. Mamatsashvili , G. Chagelishvili , E. Uchava

Alfv\'enic-type turbulence in strongly magnetized, low-beta pair plasmas is investigated. A coupled set of equations for the evolution of the magnetic and flow potentials are derived, covering both fluid and kinetic scales. In the fluid…

Plasma Physics · Physics 2018-10-31 N. F. Loureiro , S. Boldyrev

Shock waves are simulated passing through the Alfv\'en-acoustic equipartition layer in a stratified isothermal magneto-atmosphere. The recent ray-theoretic calculations of N\'u\~nez (2019) predicted smoothing of the shock through this…

Solar and Stellar Astrophysics · Physics 2019-08-21 Jamon D. Pennicott , Paul S. Cally
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