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The main objective of this article is to derive a mathematical theory associated with the nonlinear stability and dynamic transitions of the basic shear flows associated with baroclinic instability, which plays a fundamental role in the…

Atmospheric and Oceanic Physics · Physics 2017-05-24 Ming Cai , Marco Hernandez , KiahWah Ong , Shouhong Wang

Steady plasma flows have been studied almost exclusively in systems with continuous symmetry or in open domains. In the absence of continuous symmetry, the lack of a conserved quantity makes the study of flows intrinsically challenging. In…

Plasma Physics · Physics 2023-06-22 Harold Weitzner , Wrick Sengupta

Context. The understanding of fossil fields origin, topology and stability is one of the corner stones of the stellar magnetism theory. On one hand, since they survive over secular time-scales, they may modify the structure and the…

Solar and Stellar Astrophysics · Physics 2010-03-16 V. Duez , S. Mathis

The analytical treatment of nonlinear evolution of the shear-flow-modified current driven ion cyclotron instability and shear-flow-driven ion cyclotron kinetic instabilities of magnetic field--aligned plasma shear flow is presented.…

Plasma Physics · Physics 2009-11-13 V. S. Mikhailenko , V. V. Mikhailenko , K. N. Stepanov , N. A. Azarenkov

We use direct numerical simulations to study the evolution, or relaxation, of magnetic configurations to an equilibrium state. We use the full single-fluid equations of motion for a magnetized, non-resistive, but viscous fluid; and a…

Astrophysics · Physics 2009-10-31 S. I. Vainshtein , Z. Mikić , R. Rosner , J. A. Linker

The time evolution and saturation of the Weibel instability at the ion Alfv\'en current are presented by ab initio particle-in-cell simulations. We found that the ion Weibel current in 3D could evolve into the Alfv\'en current where the…

High Energy Astrophysical Phenomena · Physics 2018-06-13 Makoto Takamoto , Yosuke Matsumoto , Tsunehiko N. Kato

We are concerned with nonlinear stability and existence of two-dimensional current-vortex sheets in ideal compressible magnetohydrodynamics. This is a nonlinear hyperbolic initial-boundary value problem with characteristic free boundary. It…

Analysis of PDEs · Mathematics 2023-05-24 Alessandro Morando , Paolo Secchi , Paola Trebeschi , Difan Yuan

We study dynamics of a bimodal planar linear switched system with a Hurwitz stable and an unstable subsystem. For given \textit{flee time} from the unstable subsystem, the goal is to find corresponding \textit{dwell time} in the Hurwitz…

Dynamical Systems · Mathematics 2022-04-08 Swapnil Tripathi , Nikita Agarwal

This article considers the ideal 2D magnetohydrodynamic equations on an infinite periodic channel close to a combination of an affine shear flow, called Couette flow, and a constant magnetic field. This setting combines important physical…

Analysis of PDEs · Mathematics 2025-04-03 Niklas Knobel

We present high resolution 2D and 3D simulations of magnetized decaying turbulence in relativistic resistive magneto-hydrodynamics. The simulations show dynamic formation of large scale intermittent long-lived current sheets being disrupted…

High Energy Astrophysical Phenomena · Physics 2021-12-22 Alexander Chernoglazov , Bart Ripperda , Alexander A. Philippov

Dynamics of the magnetospheric plasma configuration intrinsically features intermittent slow and fast phases. The fast transition is a nonlinear process, loss of equilibrium which ends up the slow quasi-static evolution. The process is…

Plasma Physics · Physics 2013-02-13 Alexey Kropotkin

Context: The majority of studies on stressed 3D magnetic null points consider magnetic reconnection driven by an external perturbation, but the formation of a genuine current sheet equilibrium remains poorly understood. This problem has…

Solar and Stellar Astrophysics · Physics 2012-09-07 Jorge Fuentes-Fernandez , Clare E. Parnell

We study the stability of current filaments produced by the Weibel, or current filamentation, instability in weakly magnetized counter-streaming plasmas. It is shown that a resonance exists between the current-carrying ions and a…

Plasma Physics · Physics 2018-06-15 C. Ruyer , F. Fiuza

Magnetic reconnection can explosively release magnetic energy when opposing magnetic fields merge and annihilate through a current sheet, driving plasma jets and accelerating non-thermal particle populations to high energy, in plasmas…

Motivated by the observation of highly unstable flowing states in suspensions of microtubules and kinesin, we analyze a model of mutually-propelled filaments suspended in a solvent. The system undergoes a mean-field isotropic-nematic…

Soft Condensed Matter · Physics 2015-05-30 L. Giomi , L. Mahadevan , B. Chakraborty , M. F. Hagan

Instabilities in relativistic magnetized jets are thought to be deeply connected to their energy dissipation properties and to the consequent acceleration of the non-thermal emitting relativistic particles. Instabilities lead to the…

High Energy Astrophysical Phenomena · Physics 2024-07-23 M. Musso , G. Bodo , G. Mamatsashvili , P. Rossi , A. Mignone

We present a set of three-dimensional (3D) direct numerical simulations of incompressible decaying magnetohydrodynamic turbulence in which we investigate the influence of an external uniform magnetic field B_0. A parametric study in terms…

Fluid Dynamics · Physics 2009-11-13 Barbara Bigot , Sebastien Galtier , Helene Politano

The electrostatic shear-flow-driven ion cyclotron instability of magnetic field aligned sheared plasma flow is investigated analytically. It is shown that the shear-flow-driven electrostatic ion cyclotron instability can be considered as a…

Plasma Physics · Physics 2011-01-18 D. V. Chibisov , V. S. Mikhailenko , K. N. Stepanov

In this work, the development of two-dimensional current sheets with respect to tearing-modes, in collisionless plasmas with a strong guide field, is analysed. During their non-linear evolution, these thin current sheets can become unstable…

Plasma Physics · Physics 2025-03-04 C. Granier , R. Numata , D. Borgogno , E. Tassi , D. Grasso

Quasiequilibrium magnon Bose-Einstein condensates in ferromagnetic insulators have been a field of great interest, while condensation in antiferromagnetic systems has not yet been explored in detail. We analyze the stability of condensed…

Mesoscale and Nanoscale Physics · Physics 2025-05-05 Therese Frostad , Anne Louise Kristoffersen , Verena Brehm , Roberto E. Troncoso , Arne Brataas , Alireza Qaiumzadeh
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