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Conditional regularity for the 3D incompressible MHD equations partial components

Result 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.

Keywords

MHD equationsregularitycriteriapartial components

The result's identifiers

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

    Jimp - 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

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

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Fluids and plasma physics (including surface physics)

Year of implementation

2019

Similar results(10)

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