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Global regularity to the 2D heat-conducting MHD fluids

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Abstract

In this paper, we study an initial value problem of incompressible MHD system for nonhomogeneous viscous heat-conducting fluids in \({\mathbb {R}}^2\). The global existence of strong solutions with arbitrarily large data is established. The initial density may contain interior vacuum. Some decay estimates of the global solutions are also obtained.

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Acknowledgements

The author would like to thank the anonymous referees for their careful reading, helpful comments and suggestions.

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  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, People’s Republic of China

    Hong Ye

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  1. Hong Ye
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Ye, H. Global regularity to the 2D heat-conducting MHD fluids. Z. Angew. Math. Phys. 71, 7 (2020). https://doi.org/10.1007/s00033-019-1230-z

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  • DOI: https://doi.org/10.1007/s00033-019-1230-z

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