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The Global Well-posedness of Strong Solutions to 2D MHD Equations in Lei-Lin Space

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Abstract

In this paper, we study the Cauchy problem of the 2D incompressible magnetohydrodynamic equations in Lei-Lin space. The global well-posedness of a strong solution in the Lei-Lin space χ−1(ℝ2) with any initial data in χ−1(ℝ2) ∩ L2(ℝ2) is established. Furthermore, the uniqueness of the strong solution in χ−1(ℝ2) and the Leray-Hopf weak solution in L2(ℝ2) is proved.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, China

    Bao-quan Yuan & Ya-min **ao

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  1. Bao-quan Yuan
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  2. Ya-min **ao
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Correspondence to Bao-quan Yuan.

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Conflict of Interest

The authors declare no conflict of interest.

The project is supported by the National Natural Science Foundation of China (No. 11471103).

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Yuan, Bq., **ao, Ym. The Global Well-posedness of Strong Solutions to 2D MHD Equations in Lei-Lin Space. Acta Math. Appl. Sin. Engl. Ser. 39, 647–655 (2023). https://doi.org/10.1007/s10255-023-1068-1

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  • DOI: https://doi.org/10.1007/s10255-023-1068-1

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