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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper, for the 3-D Navier-Stokes-Boussinesq system with horizontaldissipation, where there is no smoothing effect on the vertical derivatives, weprove a uniqueness result of solutions $ (u,\rho)\in L^{\infty}_T\big(H^{0,s}\times H^{0,1-s}\big)$ with $ (\nabla_h u,\nabla_h\rho)\in L^{2}_T\big(H^{0,s}\times H^{0,1-s}\big)$ and $s\in [1/2,1]$. As a consequence, we improvethe conditions stated in the paper \cite{Miao} in order to obtain a globalwell-posedness result in the case of axisymmetric initial data.

Uniqueness result for the 3-D Navier-Stokes-Boussinesq Equations with Horizontal Dissipation