A new class of regularity criteria for the MHD and Navier-Stokes equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F23%3A00390597" target="_blank" >RIV/68407700:21110/23:00390597 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.nonrwa.2023.103916" target="_blank" >https://doi.org/10.1016/j.nonrwa.2023.103916</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2023.103916" target="_blank" >10.1016/j.nonrwa.2023.103916</a>

Result language
angličtina
Original language name
A new class of regularity criteria for the MHD and Navier-Stokes equations
Original language description
In the previous paper we studied a new class of the regularity criteria for the Navier- Stokes equations based on a remarkable idea that controlling the derivatives of some fundamental quantities like the pressure and the velocity along the streamlines yields the regularity of the weak solutions. We show in the present paper that the previous results from are extendable to the MHD equations and in the framework of the Besov spaces. For example, controlling the directional derivative of the magnetic Bernoulli pressure P along w+/|w+|, where w+ = u+b and u and b denote the velocity field and the magnetic field, respectively, yields the regularity. We compare our results with the similar criteria from the literature.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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