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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this article, we study the global well-posedness of the Cauchy problem for the 3D magneto-micropolar fluid equations with infinite magnetic Reynolds number. More precisely, we demonstrate the global well-posedness of the Cauchy problem when the initial magnetic field is near to the background magnetic field and the Diophantine condition is satisfied.
Keywords:magneto-micropolar fluid equations; Diophantine condition; global well-posedness