Global regularity of the logarithmically supercritical MHD system with zero diffusivity

Kazuo Yamazaki

doi:10.1016/j.aml.2013.10.014

Global regularity of the logarithmically supercritical MHD system with zero diffusivity

Kazuo Yamazaki

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

We prove the global regularity of the solution pair to the N-dimensional logarithmically supercritical magnetohydrodynamics system with zero diffusivity. This is the endpoint case omitted in the work of [1]; it also improves some previous results logarithmically.

Original language	English
Pages (from-to)	46-51
Number of pages	6
Journal	Applied Mathematics Letters
Volume	29
DOIs	https://doi.org/10.1016/j.aml.2013.10.014
State	Published - Mar 2014

Keywords

Global regularity
Magnetohydrodynamics system
Navier-Stokes system

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10.1016/j.aml.2013.10.014

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abstract = "We prove the global regularity of the solution pair to the N-dimensional logarithmically supercritical magnetohydrodynamics system with zero diffusivity. This is the endpoint case omitted in the work of [1]; it also improves some previous results logarithmically.",

keywords = "Global regularity, Magnetohydrodynamics system, Navier-Stokes system",

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KW - Global regularity

KW - Magnetohydrodynamics system

KW - Navier-Stokes system

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JO - Applied Mathematics Letters

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Global regularity of the logarithmically supercritical MHD system with zero diffusivity

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Keywords

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