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Global solutions to the damped MHD system

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  • Xiaoping Zhai
  • Zhi‐Min Chen

Abstract

The global existence of solutions to a damped MHD system in Besov spaces is obtained. This research is motivated by the open question [Wu et al., J. Nonlinear Sci. 25 (2015), 157–192, Remark 5.1] on the possibility of extension to the existence of global small solutions from a potential Banach space to a Besov space. The present result positively confirms the open question. What is more, the initial data are not required to be uniformly small.

Suggested Citation

  • Xiaoping Zhai & Zhi‐Min Chen, 2023. "Global solutions to the damped MHD system," Mathematische Nachrichten, Wiley Blackwell, vol. 296(2), pages 876-891, February.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:2:p:876-891
    DOI: 10.1002/mana.202000217
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