On the global smooth solutions of 3D incompressible Hall-MHD equations  

作　　者：YUE Gao-cheng SUN Wen-da 

机构地区：[1]School of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期319-327,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the Fundamental Research Funds for the Central Universities(NS2022071).

摘　　要：The present paper is devoted to the well-posedness issue for the 3D incompressible Hall-MHD system obtained from kinetic models. Our analysis strongly relies on the use of the Fourier analysis. We establish the global existence of smooth solutions for a class of large initial data, this result implies the initial velocity and magnetic field can be arbitrarily large.

关 键 词：3D Hall-MHD WELL-POSEDNESS Fourier analysis 

分 类 号：O175[理学—数学]