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Conditional regularity for the 3D incompressible MHD equations partial components

The result's identifiers

  • 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>

Alternative languages

  • 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

  • Czech description

Classification

  • 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)

Result continuities

  • 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

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Communications in Mathematical Sciences

  • ISSN

    1539-6746

  • e-ISSN

  • Volume of the periodical

    17

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    19

  • Pages from-to

    1025-1043

  • UT code for WoS article

    000493314300008

  • EID of the result in the Scopus database

    2-s2.0-85077551578