Global regularity for 3D magneto-hydrodynamics equations with only horizontal dissipation
作者机构：School of Mathematical Sciences Shanghai Jiao Tong University Shanghai 220104 China Institute of Natural Sciences Shanghai Jiao Tong University Shanghai 220104 China
出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)
年 卷 期：2019年第14卷第1期
页 面：149-175页
核心收录：
基 金：National Natural Science Foundation of China (Grant No. 11771284)
主 题：Magneto-hydrodynamics (MHD) equations degenerate dissipation global solution Green's function method frequency decomposition method
摘 要：We investigate the Cauchy problem for the 3D magneto-hydrodynamics equations with only horizontal dissipation for the small initial data. With the help of the dissipation in the horizontal direction and the structure of the system, we analyze the properties of the decay of the solution and apply these decay properties to get the global regularity of the solution. In the process, we mainly use the frequency decomposition in Green s function method and energy method.
维普期刊数据库