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

Zhang, Huali

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 $H^3(\mathbb{R}^3)$.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源