Abstract
We study the large time behavior of a 3-D MHD (magneto-hydrodynamical)-type system without magnetic diffusion introduced by Lin and Zhang (2014). By using the elementary energy method and interpolation technique, we prove the global existence and decay estimate of smooth solution near the equilibrium state (x3, 0).
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Ren, X., Xiang, Z. & Zhang, Z. Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion. Sci. China Math. 59, 1949–1974 (2016). https://doi.org/10.1007/s11425-016-5145-2
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DOI: https://doi.org/10.1007/s11425-016-5145-2