대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제58권6호
  • /
  • Pages.1521-1537
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  • 2021
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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GLOBAL LARGE SOLUTIONS FOR THE COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM

  • Li, Jinlu (School of Mathematics and Computer Sciences Gannan Normal University) ;
  • Yu, Yanghai (School of Mathematics and Statistics Anhui Normal University) ;
  • Zhu, Weipeng (School of Mathematics and Big Data Foshan University)
  • 투고 : 2021.01.18
  • 심사 : 2021.04.28
  • 발행 : 2021.11.30
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초록

In this paper we consider the global well-posedness of compressible magnetohydrodynamic system in ℝd with d ≥ 2, in the framework of the critical Besov spaces. We can show that if the initial data, the shear viscosity and the magnetic diffusion coefficient are small comparing with the volume viscosity, then the compressible magnetohydrodynamic system has a unique global solution. Our result improves the previous one by Danchin and Mucha [10] who considered the compressible Navier-Stokes equations.

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과제정보

J. Li is supported by the National Natural Science Foundation of China (NNSFC) under Grants 11801090 and 12161004. Y. Yu is supported by NNSFC under Grant 12101011, by the Natural Science Foundation of Anhui Province under Grant 1908085QA05 and the PhD Scientific Research Start-up Foundation of Anhui Normal University. W. Zhu is partially supported by NNSFC under Grant 11901092 and Natural Science Foundation of Guangdong Province under Grant 2017A030310634.

참고문헌

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