Conditional regularity for the 3D incompressible MHD equations partial components

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985874%3A_____%2F19%3A00511586" target="_blank" >RIV/67985874:_____/19:00511586 - isvavai.cz</a>
Result on the web
<a href="https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0017/0004/a008/index.php?mode=ns" target="_blank" >https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0017/0004/a008/index.php?mode=ns</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4310/CMS.2019.v17.n4.a8" target="_blank" >10.4310/CMS.2019.v17.n4.a8</a>

Result language
angličtina
Original language name
Conditional regularity for the 3D incompressible MHD equations partial components
Original language description
In this paper we establish some new regularity criteria for the three dimensional incompressible magnetohydrodynamic (MHD) equations. Particularly, we prove that if ∇u3 and the horizontal magnetic field bh=(b1,b2) satisfy certain integrable conditions with respect to space and time variables in Lebesgue spaces, then a weak solution (u,b) is actually regular. Moreover, we obtain a regularity criterion in the framework of scaling invariance.
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
—
OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)

Project
<a href="/en/project/GA18-09628S" target="_blank" >GA18-09628S: Advanced flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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