On regularity criteria for MHD system in anisotropic Lebesgue spaces

Autor: Kun Cheng, Yong Zeng
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Electronic Research Archive, Vol 31, Iss 8, Pp 4669-4682 (2023)
Druh dokumentu: article
ISSN: 2688-1594
DOI: 10.3934/era.2023239?viewType=HTML
Popis: This paper concerns the regularity criteria of the three-dimensional magnetohydrodynamic (MHD) system in anisotropic Lebesgue spaces. Two regularity results were proved under additional assumptions on the horizontal components of the velocity field $ {{\bf{u}}} $ and the magnetic field $ {{\bf{B}}} $, or directions of Elsässer's variables $ {{\bf{u}}}\pm{{\bf{B}}} $.
Databáze: Directory of Open Access Journals
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