Improved regularity criteria for the MHD equations in terms of pressure using an Orlicz norm

Hi Jun Choe; Jiří Neustupa; Minsuk Yang

doi:10.1016/j.aml.2022.108121

Improved regularity criteria for the MHD equations in terms of pressure using an Orlicz norm

Hi Jun Choe, Jiří Neustupa, Minsuk Yang

Department of Mathematics

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

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Abstract

We present new regularity criteria in terms of the negative part of the pressure p or the positive part of the extended Bernoulli pressure [Formula presented], where u is the velocity, and b is the magnetic field. The criteria extend the previously known results, and the extension is enabled by the use of an appropriate Orlicz norm.

Original language	English
Article number	108121
Journal	Applied Mathematics Letters
Volume	132
DOIs	https://doi.org/10.1016/j.aml.2022.108121
Publication status	Published - 2022 Oct

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© 2022 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1016/j.aml.2022.108121

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title = "Improved regularity criteria for the MHD equations in terms of pressure using an Orlicz norm",

abstract = "We present new regularity criteria in terms of the negative part of the pressure p or the positive part of the extended Bernoulli pressure [Formula presented], where u is the velocity, and b is the magnetic field. The criteria extend the previously known results, and the extension is enabled by the use of an appropriate Orlicz norm.",

keywords = "MHD equations, Orlicz norm, Pressure, Regularity",

author = "Choe, {Hi Jun} and Ji{\v r}{\'i} Neustupa and Minsuk Yang",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = oct,

doi = "10.1016/j.aml.2022.108121",

language = "English",

volume = "132",

journal = "Applied Mathematics Letters",

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T1 - Improved regularity criteria for the MHD equations in terms of pressure using an Orlicz norm

AU - Choe, Hi Jun

AU - Neustupa, Jiří

AU - Yang, Minsuk

PY - 2022/10

Y1 - 2022/10

N2 - We present new regularity criteria in terms of the negative part of the pressure p or the positive part of the extended Bernoulli pressure [Formula presented], where u is the velocity, and b is the magnetic field. The criteria extend the previously known results, and the extension is enabled by the use of an appropriate Orlicz norm.

AB - We present new regularity criteria in terms of the negative part of the pressure p or the positive part of the extended Bernoulli pressure [Formula presented], where u is the velocity, and b is the magnetic field. The criteria extend the previously known results, and the extension is enabled by the use of an appropriate Orlicz norm.

KW - MHD equations

KW - Orlicz norm

KW - Pressure

KW - Regularity

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DO - 10.1016/j.aml.2022.108121

M3 - Article

AN - SCOPUS:85129539827

SN - 0893-9659

VL - 132

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 108121

ER -

Improved regularity criteria for the MHD equations in terms of pressure using an Orlicz norm

Abstract

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