Vanishing resistivity limit of one-dimensional two-phase model with magnetic field
Vanishing resistivity limit of one-dimensional two-phase model with magnetic field
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DOI：
10.1016/j.jde.2022.02.037
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发表时间：
2022-05
影响因子：
2.4
通讯作者：
Limei Zhu
中科院分区：
文献类型：
--
作者：
Limei Zhu
本文研究了有界区间内磁场作用下一维两相模型的电阻率消失极限。在一些适当的假设下的初始数据，可以是大的，我们显示了一系列的先验估计一致的磁扩散系数，然后采取消失电阻率限制。结果表明，在均匀磁场边界条件下，边界层效应是不存在的。
In this paper we investigate vanishing resistivity limit of one-dimensional two-phase model with magnetic field in a bounded interval. Under some appropriate assumptions on the initial data which can be large, we show a series of a priori estimates uniformly for the magnetic diffusion coefficient and then take the vanishing resistivity limit. Our main results indicate that the boundary-layer effect will not turn out under the homogeneous boundary condition of magnetic field.