论文标题
具有有界磁场的弱解决方案的存在，规律性和独特性与稳定的Hall-MHD系统
Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system
论文作者
论文摘要
在小型外力的条件下，我们获得了Hölder连续磁场的稳定Hall-MHD系统的弱解。我们还建立了弱解决方案的规律性，只要磁场是界限的。对于足够小的外力，还建立了唯一性结果。
Under the condition of small external forces, we obtain existence of a weak solution of the steady Hall-MHD system with Hölder continuous magnetic field. We also established regularity of weak solutions provided that magnetic fields are bounded. For sufficiently small external forces, uniqueness result is also established.
