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 paper, we consider the three-dimensional generalized MHD equations, a system of equations resulting from replacing the Laplacian −ΔOpen image in new window in the usual MHD equations by a fractional Laplacian (−Δ)αOpen image in new window. We obtain a regularity criterion of the solution for the generalized MHD equations in terms of the summation of the velocity field uOpen image in new window and the magnetic field bOpen image in new window by means of the Littlewood-Paley theory and the Bony paradifferential calculus, which extends the previous result.

On the regularity criterion for the 3D generalized MHD equations in Besov spaces