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

作　　者：Xulong QIN Hua QIU Zheng-an YAO 秦绪龙;邱华;姚正安(School of Mathematics,Sun Yat-sen University,Guangzhou 510275,China;Department of Mathematics,South China Agricultural University,Guangzhou 510642,China)

机构地区：[1]School of Mathematics,Sun Yat-sen University,Guangzhou 510275,China [2]Department of Mathematics,South China Agricultural University,Guangzhou 510642,China

出　　处：《Acta Mathematica Scientia》2022年第2期588-610,共23页数学物理学报（B辑英文版）

基　　金：supported partially by NSFC(11571380,11971497,11871230);Natural Science Foundation of GuangDong Province(2019B151502041);supported partially by NSFC(11126266);Natural Science Foundation of GuangDong Province(2016A030313390);SCAU Fund for High-level University Building;supported partially by NSFC(11971496)。

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 2 D magnetic Bénard problem under 3D perturbations.

关 键 词：Magnetic Bénard problem large solutions global stability PERTURBATIONS 

分 类 号：O361.3[理学—流体力学]