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

Youseung Cho; Jiří Neustupa; Minsuk Yang

doi:10.1088/1361-6544/ad1efc

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

Youseung Cho, Jiří Neustupa, Minsuk Yang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Article number	035007
Journal	Nonlinearity
Volume	37
Issue number	3
DOIs	https://doi.org/10.1088/1361-6544/ad1efc
Publication status	Published - 2024 Mar 1

Bibliographical note

Publisher Copyright:
© 2024 IOP Publishing Ltd & London Mathematical Society.

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/1361-6544/ad1efc

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title = "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.",

keywords = "Hall-MHD equations, Liouville type theorems, MHD equations, Navier-Stokes equation",

author = "Youseung Cho and Ji{\v r}{\'i} Neustupa and Minsuk Yang",

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T1 - New Liouville type theorems for the stationary Navier-Stokes, MHD, and Hall-MHD equations

AU - Cho, Youseung

AU - Neustupa, Jiří

AU - Yang, Minsuk

PY - 2024/3/1

Y1 - 2024/3/1

N2 - 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.

AB - 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.

KW - Hall-MHD equations

KW - Liouville type theorems

KW - MHD equations

KW - Navier-Stokes equation

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

Abstract

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