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Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, China

    XiaoXia Ren & ZhiFei Zhang

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China

    ZhaoYin Xiang

Authors
  1. XiaoXia Ren
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  2. ZhaoYin Xiang
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  3. ZhiFei Zhang
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Correspondence to ZhaoYin Xiang.

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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

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