A generalized regularity criterion for 3D Navier–Stokes equations in terms of one velocity component

Chenyin Qian

doi:10.1016/j.jde.2015.10.037

A generalized regularity criterion for 3D Navier–Stokes equations in terms of one velocity component

Chenyin Qian

Open Access

https://doi.org/10.1016/j.jde.2015.10.037

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Journal: Journal of Differential Equations	Publication Date: Nov 11, 2015
Citations: 29	License type: publisher-specific-oa

Affiliation: Zhejiang Normal University

#Stokes Equations In Terms #3D Navier Stokes Equations + Show 8 more

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Abstract

In this article, we study the global regularity of the 3D Navier–Stokes equations in terms of one velocity component. In particular, we establish a new version of regularity criterion in the framework of the anisotropic Lebesgue space. It is a generalization of the notable work of C. Cao and E.S. Titi (2011) [3].

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