Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-27T08:05:56.000Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Get access Rights & Permissions [Opens in a new window]

Abstract

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)