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

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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.

作者 YUE Gao-cheng SUN Wen-da

机构地区 School of Mathematics

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 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).

关键词 3D Hall-MHD WELL-POSEDNESS Fourier analysis

分类号 O175 [理学—基础数学]

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参考文献1

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共引文献2

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Applied Mathematics(A Journal of Chinese Universities)

2024年第2期

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

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