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Long time L 1-behavior for the incompressible magneto-hydrodynamic equations in a half-space

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Abstract

The large time L 1-behavior of the strong solution (including the first and second order spacial derivatives) to the incompressible magneto-hydrodynamic (MHD) equations is given in a half-space. The main tool employed in this article is a new weighted estimate for the Stokes flow in L 1(R+ n), such a study is of independent interest.

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Authors and Affiliations

  1. Department of information and Computational Science, School of Sciences, Minzu University of China, Beijing, 100081, China

    Zhao-xia Liu

  2. College of Mathematics Science, Liaocheng University, Shandong Liaocheng, 252059, China

    Xing-jiang Yu

Authors
  1. Zhao-xia Liu
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  2. Xing-jiang Yu
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Corresponding author

Correspondence to Zhao-xia Liu.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 11611540331) and Scientific Research Award Foundation of Minzu University of China (No.2016LXY08).

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Liu, Zx., Yu, Xj. Long time L 1-behavior for the incompressible magneto-hydrodynamic equations in a half-space. Acta Math. Appl. Sin. Engl. Ser. 32, 933–944 (2016). https://doi.org/10.1007/s10255-016-0614-5

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  • DOI: https://doi.org/10.1007/s10255-016-0614-5

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