吉首大学学报（自然科学版）2025，Vol.46Issue(4)：5-10,95,7.DOI:10.13438/j.cnki.jdzk.2025.04.002
MHD系统和Hall-MHD系统解的局部适定性
Local Well-Posedness of Solutions to the MHD and Hall-MHD Systems
摘要
Abstract
This paper studies the local well-posedness for the 3D generalized incompressible magneto-hydrodynamic(MHD)and Hall-magnetohydrodynamic(Hall-MHD)systems.Firstly,we present the estimations of the heat kernel in Morrey spaces.Then,by using Picard's fixed point argument,we prove that when parameters α1,α2 satisfy certain conditions and the initial data satisfies(u0,b0)∈(M)r,p(R3),where 1＜r＜p＜+∞ and p＞3,the solutions to these two systems are locally well-posed in homogene-ous Morrey spaces.关键词
MHD系统/Hall-MHD系统/局部适定性/Morrey空间Key words
MHD system/Hall-MHD system/local well-posedness/Morrey spaces分类
数理科学引用本文复制引用
王苗苗,马德宜,别群益..MHD系统和Hall-MHD系统解的局部适定性[J].吉首大学学报（自然科学版）,2025,46(4):5-10,95,7.基金项目
国家自然科学基金资助项目(11871305) （11871305）
