Mathematica Bohemica, first online, pp. 1-8


Remark on regularity criterion for weak solutions to the shear thinning fluids

Jae-Myoung Kim

Received January 13, 2023.   Published online June 12, 2023.

Abstract:  J. Q. Yang (2019) established a regularity criterion for the 3D shear thinning fluids in the whole space $\Bbb{R}^3$ via two velocity components. The goal of this short note is to extend this result in viewpoint of Lorentz space.
Keywords:  shear thinning fluids; regularity criterion
Classification MSC:  76D05, 35Q35

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Affiliations:   Jae-Myoung Kim, Department of Mathematics Education, Andong National University, Andong 36729, Republic of Korea, e-mail: cauchy02@naver.com


 
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