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

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

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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.

3D Hall-MHDwell-posednessFourier analysis

YUE Gao-cheng、SUN Wen-da

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School of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China

中央高校基本科研业务费专项

NS2022071

2024

高校应用数学学报B辑(英文版)
浙江大学 中国工业与应用数学学会

高校应用数学学报B辑(英文版)

影响因子:0.146
ISSN:1005-1031
年,卷(期):2024.39(2)
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