New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations

Abstract We establish new Liouville-type theorems for weak solutions of the stationary Navier–Stokes equations, stationary magnetohydrodynamics (MHD) equations and stationary Hall–MHD equations under some conditions on the growth of certain Lebesgue norms of the velocity and the magnetic field.

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Bibliographic Details
Published in:Nonlinearity 2024-03, Vol.37 (3), p.35007
Main Authors: Cho, Youseung, Neustupa, Jiří, Yang, Minsuk
Format: Article
Language:English
Subjects:
76D03
76D05
76W05
Hall-MHD equations
Liouville type theorems
MHD equations
Navier–Stokes equation
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Summary:Abstract We establish new Liouville-type theorems for weak solutions of the stationary Navier–Stokes equations, stationary magnetohydrodynamics (MHD) equations and stationary Hall–MHD equations under some conditions on the growth of certain Lebesgue norms of the velocity and the magnetic field.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ad1efc