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Global existence and uniqueness of the 2D damped wave-type MHD equations

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Abstract

We consider the two-dimensional damped wave-type magnetohydrodynamic equations with fractional dissipation. We prove the global existence and uniqueness of solution for small initial data in Sobolev spaces.

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Acknowledgements

The authors appreciate the anonymous referees and the associated editor for their valuable suggestions and constructive comments to improve the paper. This work was supported by the National Natural Science Foundation of China (NNSFC) (Grant No. 12001004).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Jiangsu Normal University, 101 Shanghai Road, Xuzhou, 221116, Jiangsu, People’s Republic of China

    Weixian Sun

  2. School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, People’s Republic of China

    Wenjuan Wang

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  1. Weixian Sun
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  2. Wenjuan Wang
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Correspondence to Wenjuan Wang.

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Sun, W., Wang, W. Global existence and uniqueness of the 2D damped wave-type MHD equations. Z. Angew. Math. Phys. 74, 135 (2023). https://doi.org/10.1007/s00033-023-02042-5

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  • DOI: https://doi.org/10.1007/s00033-023-02042-5

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