On regularity criteria of a weak solution to the three-dimensional magnetohydrodynamics equations in Lorentz space

We give a weak-Lp Serrin-type regularity criterion for a weak solution to the three-dimensional magnetohydrodynamics equations in a bounded domain Ω ⊂ ℝ3.

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Bibliographic Details
Published inProceedings of the Royal Society of Edinburgh. Section A. Mathematics Vol. 148; no. 3; pp. 593 - 604
Main Author Kim, Jae-Myoung
Format Journal Article
LanguageEnglish
Published Edinburgh, UK Royal Society of Edinburgh Scotland Foundation 01.06.2018
Cambridge University Press
Subjects
Fluid dynamics
Magnetohydrodynamics
Mathematical analysis
Regularity
weak solutions
magnetohydrodynamics equations
bounded domains
Secondary 35K15
regularity condition
Primary 35Q30
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Summary:We give a weak-Lp Serrin-type regularity criterion for a weak solution to the three-dimensional magnetohydrodynamics equations in a bounded domain Ω ⊂ ℝ3.
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ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210517000476