论文标题
MHD大厅几乎肯定
Almost sure well-posedness for Hall MHD
论文作者
论文摘要
我们考虑具有HALL效应的磁流失动力学系统，并伴有超临界Sobolev空间中的初始数据。通过对超临界初始数据的适当随机化，在关键的Sobolev空间中，几乎可以肯定地获得了该系统的本地和小数据全局良好性。
We consider the magnetohydrodynamics system with Hall effect accompanied with initial data in supercritical Sobolev space. Via an appropriate randomization of the supercritical initial data, both local and small data global well-posedness for the system are obtained almost surely in critical Sobolev space.
