Refined Regularity Criteria for the 3D MHD System via Partial Components in Lorentz Space

In this paper, we find new regularity criteria on the magnetohydrodynamic (MHD) system in terms of partial components of the velocity field and the magnetic field in Lorentz space. Our aim is to refine and extend the criteria of the Lebesgue space in previous results to those of a larger Lorentz space.

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Publication Details

Journal
Funkcialaj Ekvacioj
Published
2025-12-11
DOI
https://doi.org/10.1619/fesi.68.323
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
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article

Refined Regularity Criteria for the 3D MHD System via Partial Components in Lorentz Space

Funkcialaj Ekvacioj
Navier-Stokes equation solutions
article

Refined Regularity Criteria for the 3D MHD System via Partial Components in Lorentz Space

article en

Abstract

In this paper, we find new regularity criteria on the magnetohydrodynamic (MHD) system in terms of partial components of the velocity field and the magnetic field in Lorentz space. Our aim is to refine and extend the criteria of the Lebesgue space in previous results to those of a larger Lorentz space.

Funkcialaj EkvaciojVol. 68(3)
Waseda University (JP)
Openalex Percentile: Top 27%
Navier-Stokes equation solutions
DOIOpen Access PDFOpenAlex
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Refined Regularity Criteria for the 3D MHD System via Partial Components in Lorentz Space · Funkcialaj Ekvacioj (2025) | TGRS Research Map | TGRS