ON THE REGULARITY CRITERION ON ONE VELOCITY COMPONENT FOR THE MICROPOLAR FLUID EQUATIONS-Reference-Cited by-同舟云学术

ON THE REGULARITY CRITERION ON ONE VELOCITY COMPONENT FOR THE MICROPOLAR FLUID EQUATIONS

Published:2023-03-21 Issue:2 Volume:28 Page:271-284
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
Short-container-title:

Author:

Agarwal Ravi P.¹^ORCID,Alghamdi Ahmad M.²^ORCID,Gala Sadek³^ORCID,Ragusa Maria Alessandra⁴^ORCID

Affiliation:

1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA

2. Department of Mathematical Sciences, Faculty of Applied Sciences, Umm Al–Qura University, 21955 Makkah, Saudi Arabia

3. Department of Mathematics, Ecole Normal Supérieur of Mostaganem, 27000 Mostaganem, Algeria; Dipartimento di Matematica e Informatica, Università di Catania, 95125 Catania, Italy

4. Dipartimento di Matematica e Informatica, Università di Catania, 95125 Catania, Italy; Faculty of Fundamental Science, Industrial University of Ho Chi Minh City No. 12 Nguyen Van Bao, Ward 4, Go Vap District, Ho Chi Minh City, Vietnam

Abstract

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 0<r<9/10 then the weak solution (u,w) is regular.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference33 articles.

1. Regularity criteria for the three-dimensional Navier-Stokes equations

2. Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor

3. D. Chae and H.-J. Choe. Regularity of solutions to the Navier-Stokes equation. Electron. J. Differential Equations, pp. No. 05, 7, 1999.

4. On the Serrin-Type Condition on One Velocity Component for the Navier–Stokes Equations

5. On the critical one component regularity for 3-D Navier-Stokes system

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On an Application of Phragmén–Lindelöf Method to Singular Fractional-Order Problem;Results in Mathematics;2024-01-11

2. Hybrid Functions Approach via Nonlinear Integral Equations with Symmetric and Nonsymmetrical Kernel in Two Dimensions;Symmetry;2023-07-13

3. A note on regularity criterion for 3D shear thickening fluids in terms of velocity;Mathematische Annalen;2023-06-21

4. Exploration of New Solitons for the Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model;Mathematics;2023-06-03

5. An application of generalized Morrey spaces to unique continuation property of the quasilinear elliptic equations;AIMS Mathematics;2023