A Liouville-type theorem for the stationary MHD equations

Youseung Cho; Jiří Neustupa; Minsuk Yang

doi:10.1016/j.nonrwa.2023.103920

A Liouville-type theorem for the stationary MHD equations

Youseung Cho
, Jiří Neustupa
, Minsuk Yang

Department of Mathematics

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

7 Citations (Scopus)

Abstract

We establish a new Liouville-type theorem for solutions of the stationary MHD equations imposing asymmetric oscillation growth conditions on the tensor-valued functions for the velocity and the magnetic field.

Original language	English
Article number	103920
Journal	Nonlinear Analysis: Real World Applications
Volume	73
DOIs	https://doi.org/10.1016/j.nonrwa.2023.103920
Publication status	Published - 2023 Oct

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Analysis
General Engineering
General Economics,Econometrics and Finance
Computational Mathematics
Applied Mathematics

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10.1016/j.nonrwa.2023.103920

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title = "A Liouville-type theorem for the stationary MHD equations",

abstract = "We establish a new Liouville-type theorem for solutions of the stationary MHD equations imposing asymmetric oscillation growth conditions on the tensor-valued functions for the velocity and the magnetic field.",

keywords = "Iteration method, Liouville-type theorem, Stationary MHD equations",

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

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Ltd",

year = "2023",

month = oct,

doi = "10.1016/j.nonrwa.2023.103920",

language = "English",

volume = "73",

journal = "Nonlinear Analysis: Real World Applications",

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T1 - A Liouville-type theorem for the stationary MHD equations

AU - Cho, Youseung

AU - Neustupa, Jiří

AU - Yang, Minsuk

PY - 2023/10

Y1 - 2023/10

N2 - We establish a new Liouville-type theorem for solutions of the stationary MHD equations imposing asymmetric oscillation growth conditions on the tensor-valued functions for the velocity and the magnetic field.

AB - We establish a new Liouville-type theorem for solutions of the stationary MHD equations imposing asymmetric oscillation growth conditions on the tensor-valued functions for the velocity and the magnetic field.

KW - Iteration method

KW - Liouville-type theorem

KW - Stationary MHD equations

UR - https://www.scopus.com/pages/publications/85159552634

UR - https://www.scopus.com/pages/publications/85159552634#tab=citedBy

U2 - 10.1016/j.nonrwa.2023.103920

DO - 10.1016/j.nonrwa.2023.103920

M3 - Article

AN - SCOPUS:85159552634

SN - 1468-1218

VL - 73

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

M1 - 103920

ER -

A Liouville-type theorem for the stationary MHD equations

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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