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

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

We present new regularity criteria in terms of the negative part of the pressure p or the positive part of the extended Bernoulli pressure B≔p+12|u|2+12|b|2, 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 us...

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Veröffentlicht in:Applied mathematics letters 2022-10, Vol.132, p.108121, Article 108121
Hauptverfasser: Choe, Hi Jun, Neustupa, Jiří, Yang, Minsuk
Format: Artikel
Sprache:eng
Schlagworte:
MHD equations
Orlicz norm
Pressure
Regularity
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Zusammenfassung:We present new regularity criteria in terms of the negative part of the pressure p or the positive part of the extended Bernoulli pressure B≔p+12|u|2+12|b|2, 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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2022.108121