论文标题
在磁流失动力学中产生的渐近浅模型
Asymptotic shallow models arising in magnetohydrodynamics
论文作者
论文摘要
在本文中，我们得出了一个新的浅渐近模型，用于由磁性水力学方程控制的自由边界等离子体问题问题，对于描述天体物理血浆流中的大规模过程至关重要。更确切地说，在存在弱共享的涡度和磁电流的情况下，我们介绍了2D绿色-NAGHDI方程的磁性类似物。该方法的灵感来自Castro和Lannes（2014）的流体动力学流的开发想法，以减少问题的$（d+1）$ - 维度动力学，以降低有限的方程式级联，这些方程式可以按模型的精确封闭。
In this paper, we derive a new shallow asymptotic model for the free boundary plasma-vacuum problem governed by the magnetohydrodynamic equation, vital in describing large-scale processes in flows of astrophysical plasma. More precisely, we present the magnetic analogue of the 2D Green-Naghdi equations for water waves in the presence of weakly shared vorticity and magnetic currents. The method is inspired by developed ideas for hydrodynamics flows in by Castro and Lannes (2014) to reduce the $(d+1)$-dimensional dynamics of the problem to a finite cascade of equations which can be closed at the precision of the model.
