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Global stability of large solutions to the 3D nonhomogeneous incompressible MHD equations. (English) Zbl 1435.35311

Summary: In this paper, we consider the 3D nonhomogeneous incompressible MHD equations. More precisely, we obtain that the large solutions to the 3D nonhomogeneous incompressible MHD equations in 3D bounded or unbounded domains are stable under the conditions, where the initial data satisfy small perturbations and the suitable condition is prescribed on the large solutions.

MSC:

35Q35 PDEs in connection with fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
35B35 Stability in context of PDEs
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