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.
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
.
DOI: 10.1007/s10473-022-0212-y
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