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

Part of: Equations of mathematical physics and other areas of application Parabolic equations and systems

Published online by Cambridge University Press:  15 April 2018

Jae-Myoung Kim
Jae-Myoung Kim*
Affiliation:
Department of Mathematical Sciences, Seoul National University, Seoul 82, Republic of Korea (cauchy02@naver.com)
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Abstract

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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.

Keywords

magnetohydrodynamics equationsweak solutionsregularity conditionbounded domains

MSC classification

Secondary: 35Q30: Navier-Stokes equations 35K15: Initial value problems for second-order parabolic equations
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 148 , Issue 3 , June 2018 , pp. 593 - 604
Copyright
Copyright © Royal Society of Edinburgh 2018