English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this article, we study regularity criteria for the 3D micropolar fluid equations in terms of one partial derivative of the velocity. It is proved that if $$\begin{aligned} \int ^{T}_{0}\Vert \partial _{3}u\Vert ^{\frac{2}{1-r}}_{\dot{B}^{-r}_{\infty ,\infty }} dt<\infty \quad \text {with} \quad 0< r<1, \end{aligned}$$then, the solutions of the micropolar fluid equations actually are smooth on (0, T). This improves and extends many previous results.

A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices