%0 Journal Article %A Gao, Jincheng %A Lyu, Zeyu %A Yao, Zheng-an %T Optimal decay rate for higher-order derivatives of the solution to the Lagrangian-averaged Navier–Stokes-$\alpha$ equation in $\mathbb{R}^3$ %J Annales de l'I.H.P. Analyse non linéaire %D 2022 %P 761-791 %V 39 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4171/aihpc/19/ %R 10.4171/aihpc/19 %G en %F AIHPC_2022__39_4_761_0