Remarks on Liouville type theorems for the 3D stationary MHD equations

Remarks on Liouville type theorems for the 3D stationary MHD equations

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....

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Veröffentlicht in:Taehan Suhakhoe hoebo 2020, 57(5), , pp.1151-1164
Hauptverfasser: Zhouyu Li, Pan Liu, Pengcheng Niu
Format: Artikel
Sprache:eng
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수학
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Zusammenfassung: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 \cite{Sc2018} and Seregin-Wang \cite{SW2018}. KCI Citation Count: 5
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b190828