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On global regularity of incompressible MHD equations in \(\mathbb{R}^3\). (English) Zbl 1367.35056

Summary: This article considers the existence of global smooth solutions to the Cauchy problem in 3D incompressible magnetohydrodynamic (MHD) flows, and prove the global regularity of classical solutions for a family of large initial data with finite energy.

MSC:

35B65 Smoothness and regularity of solutions to PDEs
76W05 Magnetohydrodynamics and electrohydrodynamics
35Q35 PDEs in connection with fluid mechanics
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