论文标题
关于磁流失动力学崩溃的注释
Notes about collapse in magnetohydrodynamics
论文作者
论文摘要
我们讨论了一个有关磁塌陷的问题，即在理想的磁静脉动力学中，在有限的时间内，在有限的时间内，磁崩溃是一个可能形成磁场的奇异性过程。从各种天体物理应用的角度来看，这一过程非常重要，特别是作为太阳对流区域中磁丝形成的机制。塌陷的可能性与连续分布的磁场线的可压缩性有关。帕克（Parker）在1963年首先考虑的运动发电机近似中磁丝形成的一个众所周知的例子，而是表明磁场的增加在时间上是指数的。在诱导方程的运动学近似值的情况下，显示磁丝形成发生在具有双曲线速度曲线的区域中。
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.
