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arXiv 2202.08121astro-ph.SRphysics.flu-dyn
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关于磁流体力学中坍缩的注记

Notes about collapse in magnetohydrodynamics

E. A. Kuznetsov, E. A. Mikhailov

摘要:

本文讨论了不可压缩流体在理想磁流体力学中,在有限时间内磁场奇异性形成的可能过程--磁塌缩问题。从各种天体物理学应用的角度来看,这个过程是非常重要的,特别是作为太阳对流区磁丝形成的机制。崩溃的可能性与连续分布的磁场线的可压缩性有关。帕克在1963年首次考虑了一个著名的例子,即在给定速度场的运动发电机近似中形成磁丝,这个例子表明磁场的增加在时间上是指数的。在感应方程的运动学近似的情况下,磁丝的形成示出发生在具有双曲线速度分布的区域。

英文摘要:

We discuss a problem about magnetic collapse as a possible process for singularity formation of the magnetic field in a finite time within ideal magneto-hydrodynamics for incompressible fluids. This process is very important from the point of view of various astrophysical applications, in particular, as a mechanism of magnetic filaments formation in the convective zone of the Sun. The collapse possibility is connected with compressibility of continuously distributed magnetic field lines. A well-known example of the formation of magnetic filaments in the kinematic dynamo approximation with a given velocity field, first considered by Parker in 1963, rather indicates that the increase in the magnetic field is exponential in time. In the case of the kinematic approximation for the induction equation, the magnetic filaments formation is shown to occur in areas with a hyperbolic velocity profile.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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