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Liouville type Theorems for the 3D stationary Hall‐MHD equations
Author(s) -
Li Zhouyu,
Niu Pengcheng
Publication year - 2020
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201900200
Subject(s) - magnetohydrodynamics , type (biology) , lorentz force , lorentz transformation , mathematics , zero (linguistics) , mathematical analysis , physics , magnetic field , mathematical physics , classical mechanics , quantum mechanics , ecology , linguistics , philosophy , biology
The purpose of this paper is to establish the Liouville type theorems for the stationary Hall‐MHD equations on R 3 . We prove that the velocity and magnetic fields, belonging to some Lorentz spaces, must be zero. In particular, we also show Liouville type results for 3D stationary Navier‐Stokes equations. Our results extend and generalize previous result contained in Kozono, et al., (2017) [15].