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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we study the nonlinear asymptotic stability of the Couetteflow in the stably stratified regime, namely the Richardson number$\gamma^2>\frac{1}{4}$. Precisely, we prove that if the initial perturbation$(u_{in},\vartheta_{in})$ of the Couette flow $v_s=(y,0)$ and the lineartemperature $\rho_s=-\gamma^2y+1$ satisfies$\|u_{in}\|_{H^{s+1}}+\|\vartheta_{in}\|_{H^{s+2}}\leq\epsilon_0\nu^{\frac{1}{2}}$, then the asymptotic stability holds.

Stability threshold of the Couette flow for Navier-Stokes Boussinesq system with large Richardson number $\gamma^2>\frac{1}{4}$