论文标题
一类全球大型,平滑的解决方案,用于带有大厅和离子滑移效应的磁性水力动力学
A class of global large, smooth solutions for the magnetohydrodynamics with the Hall and ion-slip effects
论文作者
论文摘要
在本文中,考虑了Cauchy与大厅和离子滑动效应的分数MHD系统的问题。通过探索半线性和准线性术语的结构,我们证明了一类大型初始数据的全球解决方案。速度和磁场在$ h^3(\ mathbb {r}^3)$中都可以任意大。
In this paper, the Cauchy's problem for fractional MHD system with the Hall and ion-slip effects is considered. By exploring the structure of semilinear and quasilinear terms, we prove the global existence of solutions for a class of large initial data. Both the velocity and magnetic fields could be arbitrarily large in $H^3(\mathbb{R}^3)$.