On the regularity criterion on one velocity component for the micropolar fluid equations

In this paper, we establish a regularity criterion for micropolar fluid flows in terms of the one component of the velocity in critical Morrey-Campanato space. More precisely, we show that if where then the weak solution (u,w) is regular.

Bibliographic Details
Published in:Mathematical Modelling and Analysis
Main Authors: Ravi P. Agarwal, Ahmad M. Alghamdi, Sadek Gala, Maria Alessandra Ragusa
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2023-03-01
Subjects:
micropolar fluid equations
weak solutions
regularity criterion
Morrey-Campanato spaces
Online Access:https://limes.vgtu.lt/index.php/MMA/article/view/15261
Description
Summary:In this paper, we establish a regularity criterion for micropolar fluid flows in terms of the one component of the velocity in critical Morrey-Campanato space. More precisely, we show that if where then the weak solution (u,w) is regular.
ISSN:1392-6292
1648-3510

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