대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제57권5호
  • /
  • Pages.1151-1164
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  • 2020
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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REMARKS ON LIOUVILLE TYPE THEOREMS FOR THE 3D STATIONARY MHD EQUATIONS

  • Li, Zhouyu (School of Mathematics and Statistics Northwestern Polytechnical University) ;
  • Liu, Pan (School of Mathematics and Statistics Beijing Institute of Technology) ;
  • Niu, Pengcheng (School of Mathematics and Statistics Northwestern Polytechnical University)
  • 투고 : 2019.09.10
  • 심사 : 2020.03.05
  • 발행 : 2020.09.30
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초록

The aim of this paper is to establish Liouville type results for the stationary MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces, must be zero. Moreover, we also obtain Liouville type theorem for the case of axially symmetric MHD equations. Our results generalize previous works by Schulz [14] and Seregin-Wang [18].

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참고문헌

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