论文标题
$ \ mathbb {r}^n $中磁性水动力系统的关键空间中的存在和唯一性
Existence and uniqueness in critical spaces for the magnetohydrodynamical system in $\mathbb{R}^n$
论文作者
论文摘要
我们使用外部导数对$ n $尺寸的磁流失动力系统进行了描述。然后，我们证明存在针对小初始数据的全局解决方案和在两类关键空间中的任意大数据的全局解决方案 - $ l^q_tl^p_x $和$ \ nathcal {c} _tl^p_x $，以及$ \ nathcal {c} c} _tl^p_x $的唯一性。
We give a description of a magnetohydrodynamical system in $n$ dimension using the exterior derivative. We then prove existence of global solutions for small initial data and local existence for arbitrary large data in two classes of critical spaces -- $L^q_tL^p_x$ and $\mathcal{C}_tL^p_x$, as well as uniqueness for solutions in $\mathcal{C}_tL^p_x$.
