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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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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container_title Nonlinearity
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creator Cho, Youseung
Neustupa, Jiří
Yang, Minsuk
description 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.
doi_str_mv 10.1088/1361-6544/ad1efc
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source Institute of Physics:Jisc Collections:IOP Publishing Read and Publish 2024-2025 (Reading List)
subjects 76D03
76D05
76W05
Hall-MHD equations
Liouville type theorems
MHD equations
Navier–Stokes equation
title New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations
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