GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BÉNARD PROBLEM

doi:10.1007/s10473-022-0212-y

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (2): 588-610.doi: 10.1007/s10473-022-0212-y

GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BÉNARD PROBLEM

秦绪龙¹, 邱华², 姚正安³

1. School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
2. Department of Mathematics, South China Agricultural University, Guangzhou 510642, China;
3. School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China

收稿日期:2020-07-21 修回日期:2021-05-22 出版日期:2022-04-25 发布日期:2022-04-22
通讯作者: Hua QIU,E-mail:tsiuhua@scau.edu.cn E-mail:tsiuhua@scau.edu.cn
作者简介:Xulong QIN,E-mail:qin xulong@163.com;Zheng-an YAO,E-mail:mcsyao@mail.sysu.edu.cn
基金资助:
Qin is supported partially by NSFC (11571380, 11971497, 11871230) and Natural Science Foundation of GuangDong Province (2019B151502041); Qiu is supported partially by NSFC (11126266), Natural Science Foundation of GuangDong Province (2016A030313390) and SCAU Fund for High-level University Building; Yao was supported partially by NSFC (11971496).

GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BÉNARD PROBLEM

Xulong QIN¹, Hua QIU², Zheng-an YAO³

1. School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
2. Department of Mathematics, South China Agricultural University, Guangzhou 510642, China;
3. School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China

Received:2020-07-21 Revised:2021-05-22 Online:2022-04-25 Published:2022-04-22
Supported by:
Qin is supported partially by NSFC (11571380, 11971497, 11871230) and Natural Science Foundation of GuangDong Province (2019B151502041); Qiu is supported partially by NSFC (11126266), Natural Science Foundation of GuangDong Province (2016A030313390) and SCAU Fund for High-level University Building; Yao was supported partially by NSFC (11971496).

摘要/Abstract

摘要： In this paper, we consider the 3D magnetic Bénard problem. More precisely, we prove that the large solutions are stable under certain conditions. And we obtain the equivalent condition with respect to this stability condition. Finally, we also establish the stability of 2D magnetic Bénard problem under 3D perturbations.

关键词: Magnetic Bénard problem, large solutions, global stability, perturbations

Abstract: In this paper, we consider the 3D magnetic Bénard problem. More precisely, we prove that the large solutions are stable under certain conditions. And we obtain the equivalent condition with respect to this stability condition. Finally, we also establish the stability of 2D magnetic Bénard problem under 3D perturbations.

Key words: Magnetic Bénard problem, large solutions, global stability, perturbations

中图分类号:

35B65

秦绪龙, 邱华, 姚正安. GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BÉNARD PROBLEM[J]. 数学物理学报(英文版), 2022, 42(2): 588-610.

Xulong QIN, Hua QIU, Zheng-an YAO. GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BÉNARD PROBLEM[J]. Acta mathematica scientia,Series B, 2022, 42(2): 588-610.

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GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BÉNARD PROBLEM

GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BÉNARD PROBLEM

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