Axisymmetric flows in Hall-MHD: A tendency towards finite-time singularity formation

Dreher J; Ruban V; Grauer R

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Axisymmetric flows in Hall-MHD: A tendency towards finite-time singularity formation

机译：霍尔-MHD中的轴对称流动：有限时奇点形成的趋势

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Spontaneous development of shock-like singularities in axisymmetric solutions of the Hall-MHD equations is discussed. It is shown that the Hall-term in Ohm's law leads to a Burgers-type equation for the magnetic field evolution in weakly compressible regime. Numerical simulations are used to investigate the validity of this approximation for a particular class of initial conditions.

机译：讨论了霍尔-MHD方程的轴对称解中类激波奇点的自发发展。结果表明，在欧姆定律中的霍尔项导致了在弱可压缩状态下磁场演化的伯格斯型方程。数值模拟用于研究这种近似对特定类别的初始条件的有效性。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2005年第6期|共5页
作者
Dreher J; Ruban V; Grauer R;
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正文语种 eng
中图分类物理学;
关键词
COLLISIONLESS MAGNETIC RECONNECTION; INCOMPRESSIBLE EULER EQUATIONS; FULLY-DEVELOPED TURBULENCE; MAGNETOHYDRODYNAMIC TURBULENCE; BURGERS TURBULENCE; INTERMITTENCY; DYNAMICS;

机译：无撞磁连接;不可压缩的Euler方程;充分发展的湍流;磁水动力湍流;汉堡湍流;间歇性;动力学;

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专利

1. Axisymmetric flows in Hall-MHD: A tendency towards finite-time singularity formation [J] . Dreher J, Ruban V, Grauer R Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2005,第6期

机译：霍尔-MHD中的轴对称流动：有限时奇点形成的趋势
2. Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows [J] . Dallaston M. C., Tseluiko D., Zheng Z., Nonlinearity . 2017,第7期

机译：在薄膜流动中产生的退化抛物型方程中的自相似有限时间奇异形成
3. Singularity formation for the incompressible Hall-MHD equations without resistivity [J] . Chae Dongho, Weng Shangkun Annales de l'Institut Henri Poincare. Analye non lineaire . 2016,第4期

机译：没有电阻率的不可压缩Hall-MHD方程的奇异性形成
4. Sufficient condition for finite-time singularity and tendency towards self-similarity in a high-symmetry flow [C] . C. S. NG, A. BHATTACHARJEE NATO Symposium . 2002

机译：足够的有限时间奇异性和高对称流动自相似性的条件
5. EIGENFUNCTIONS AT A SINGULAR POINT IN TRANSVERSELY ISOTROPIC MATERIALS AND COMPOSITES UNDER AXISYMMETRIC DEFORMATIONS (STRESS, NOTCH, CRACK, SINGULARITY). [D] . JIN, YIJIAN. 1986

机译：轴对称变形（应力，缺口，裂纹，奇异性）下横向各向同性材料和复合材料中单点的本征函数。
6. Potentially singular solutions of the 3D axisymmetric Euler equations [O] . Guo Luo, Thomas Y. Hou 2014

机译：3D轴对称Euler方程的潜在奇异解
7. Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study [O] . Guo Luo, Thomas Y. Hou 2019

机译：3D轴对称欧拉方程中有限时间奇异性的形成：一个数字引导研究

Axisymmetric flows in Hall-MHD: A tendency towards finite-time singularity formation

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