关于二维磁流体动力学-$\alpha$ 系统的一个注记
偏微分方程分析
2016-03-22 v2
摘要
我们研究了耗散项和扩散项中包含分数阶拉普拉斯算子的二维广义磁流体动力学- 系统。我们证明了在所有幂次之和为 1 的情况下，速度和磁场解对均保持其初始正则性。这解决了作者在 [33] 中指出的作为一般性问题的全局正则性问题。
引用
@article{arxiv.1401.6237,
title = {A remark on the two-dimensional magneto-hydrodynamics-alpha system},
author = {Kazuo Yamazaki},
journal= {arXiv preprint arXiv:1401.6237},
year = {2016}
}
备注
The title has been modified, specifically, from "magnetohydrodynamics" to "magneto-hydrodynamics" for a editing reason during the publication process. To appear in J. Math. Fluid Mechanics