论文标题
关于MHD方程的局部规律性理论
On the local regularity theory for the MHD equations
论文作者
论文摘要
使用AS AS Global Framework获得抛物线莫雷空间的设置，获得了MHD方程的局部规律性结果。实际上，通过假设MHD方程弱解的某些局部界限假设（从抛物线莫雷空间的意义上讲），可以在Serrin Carrofarity理论的一般环境中获得此类解决方案的规律性。这是一个更广泛计划的第一步，旨在研究MHD方程的本地和部分规则理论。
Local regularity results are obtained for the MHD equations using as global framework the setting of parabolic Morrey spaces. Indeed, by assuming some local boundedness assumptions (in the sense of parabolic Morrey spaces) for weak solutions of the MHD equations it is possible to obtain a gain of regularity for such solutions in the general setting of the Serrin regularity theory. This is the first step of a wider program that aims to study both local and partial regularity theories for the MHD equations.
