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Theoretical approaches to low-frequency magnetized turbulence in collisionless and weakly collisional astrophysical plasmas are reviewed. The proper starting point for an analytical description of these plasmas is kinetic theory, not fluid…

Astrophysics · Physics 2009-11-11 A. A. Schekochihin , S. C. Cowley , W. Dorland

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show that its asymptotic behavior, when the distance between the two surfaces tends to zero, is the same as that of the the Navier-Stokes…

Analysis of PDEs · Mathematics 2022-06-09 José M. Rodríguez , Raquel Taboada-Vázquez

Hydrostatic equilibrium of the multiphase interstellar medium in the solar vicinity is reconsidered, with the regular and turbulent magnetic fields treated separately. The regular magnetic field strength required to support the gas is…

Astrophysics · Physics 2009-11-06 Andrew Fletcher , Anvar Shukurov

This paper presents a detailed study on the controlled experimental observation of drift wave instabilities in an inhomogeneous Six pole cusp magnetic field generated by an in-house developed Multi-pole line cusp magnetic field device (MPD)…

Plasma Physics · Physics 2021-12-08 A. D. Patel , M. Sharma , R. Ganesh , N. Ramasubramanian , P. K. Chattopadhyay

We consider the free boundary problem for a plasma--vacuum interface in ideal incompressible magnetohydrodynamics. Unlike the classical statement, where the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, we do not…

Analysis of PDEs · Mathematics 2022-02-17 Paolo Secchi , Yuan Yuan

Force-free electrodynamics describes the electromagnetic field of the magnetically dominated plasma found near pulsars and active black holes, but gives no information about the underlying particles that ultimately produce the observable…

High Energy Astrophysical Phenomena · Physics 2025-11-05 Morifumi Mizuno , Samuel E. Gralla , Alexander Philippov

Magnetic fields pervade the entire Universe and affect the formation and evolution of astrophysical systems from cosmological to planetary scales. The generation and dynamical amplification of extragalactic magnetic fields through cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 F. Rincon , F. Califano , A. A. Schekochihin , F. Valentini

Recent simulation and experimental results suggest that the magnetic island and flow on resonant surface often do not satisfy the "no-slip" condition in the steady state. A new theory model on nonlinear plasma response to external magnetic…

Plasma Physics · Physics 2020-03-18 Wenlong Huang , Ping Zhu

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show, using a formal asymptotic expansion of the solution, that its asymptotic behavior, when the distance between the two surfaces tends to…

Analysis of PDEs · Mathematics 2023-08-01 José M. Rodríguez , Raquel Taboada-Vázquez

We show that under very general conditions, cluster plasmas threaded by weak magnetic fields are subject to very fast growing plasma instabilities driven by the anisotropy of the plasma pressure (viscous stress) with respect to the local…

Astrophysics · Physics 2008-11-26 A. A. Schekochihin , S. C. Cowley , R. M. Kulsrud , G. W. Hammett , P. Sharma

The flow transformation and the generation of vortex structures by a strong magnetic dipole field in a liquid metal duct flow is studied by means of three-dimensional direct numerical simulations. The dipole is considered as the paradigm…

Fluid Dynamics · Physics 2013-11-13 Saskia Tympel , Thomas Boeck , Jörg Schumacher

We calculate the flux-flow resistivity of the Josephson vortex lattice in a layered superconductor taking into account both the inter-plane and in-plane dissipation channels. We consider the limiting cases of small fields (isolated…

Superconductivity · Physics 2009-10-31 A. E. Koshelev

We analyze weakly nonlinear stability of a flow of viscous conducting liquid driven by pressure gradient in the channel between two parallel walls subject to a transverse magnetic field. Using a non-standard numerical approach, we compute…

Fluid Dynamics · Physics 2015-06-11 Jonathan Hagan , Jānis Priede

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

Analysis of PDEs · Mathematics 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

We show local existence and uniqueness of plasma(fluid)-vaccum free boundary problem of magnetohydrodynamic flow in three-dimensional space with infinite depth setting when magnetic field is zero on the free boundary. We use…

Analysis of PDEs · Mathematics 2017-10-09 Donghyun Lee

Cold fronts -- contact discontinuities in the intracluster medium (ICM) of galaxy clusters -- should be disrupted by Kelvin-Helmholtz (K-H) instabilities due to the associated shear velocity. However, many observed cold fronts appear…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 J. A. ZuHone , M. W. Kunz , M. Markevitch , J. M. Stone , V. Biffi

We analyze the stability of a thin plasma disk which is rotating around a compact astrophysical object and is embedded in the strong magnetic field of such a source. The aim of this study is the determination of a new type of unstable…

Solar and Stellar Astrophysics · Physics 2015-06-17 Giovanni Montani , Riccardo Benini , Nakia Carlevaro , Alessio Franco

Fluid instabilities like Rayleigh-Taylor,Richtmyer-Meshkov and Kelvin-Helmholtz instability can occur in a wide range of physical phenomenon from astrophysical context to Inertial Confinement Fusion(ICF).Using Layzer's potential flow model,…

Plasma Physics · Physics 2015-05-27 Manoranjan Khan , Labakanta Mandal , Rahul Banerjee , Sourav Roy , M. R. Gupta

The lattice Boltzmann method (LBM) has gained increasing popularity in incompressible viscous flow simulations, but it uses many more variables than necessary. This defect was overcome by a recent approach that solves the more actual…

Fluid Dynamics · Physics 2021-06-02 Jun-Jie Huang

The microphysics of the intracluster medium (ICM) in galaxy clusters is still poorly understood. Observational evidence suggests that the effective viscosity is suppressed by plasma instabilities that reduce the mean free path of particles.…

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