论文标题
几乎肯定存在超临界电子MHD的全球弱解决方案
Almost sure existence of global weak solutions for supercritical electron MHD
论文作者
论文摘要
我们考虑了超临界方案中电子水力学模型的库奇问题。对于$ \ Mathcal H^{ - s}(\ Mathbb t^n)$的粗略初始数据,$ s> 0 $,我们几乎可以通过适当的初始数据随机化来获得全局弱解决方案。
We consider the Cauchy problem for the electron magnetohydrodynamics model in the supercritical regime. For rough initial data in $\mathcal H^{-s}(\mathbb T^n)$ with $s>0$, we obtain global in time weak solutions almost surely via an appropriate randomization of the initial data.