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GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BéNARD PROBLEM
【摘要】 In this paper,we consider the 3 D 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 3 D perturbations.
【Abstract】 In this paper,we consider the 3 D 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 3 D perturbations.
【关键词】 Magnetic Bénard problem；
large solutions；
global stability；
perturbations；
【Key words】 Magnetic Bénard problem； large solutions； global stability； perturbations；
【Key words】 Magnetic Bénard problem； large solutions； global stability； perturbations；
【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)
- 【文献出处】 Acta Mathematica Scientia ,数学物理学报 , 编辑部邮箱 ,2022年02期
- 【分类号】O361.3
- 【下载频次】5