@article{AIHPC_2022__39_4_761_0, author = {Gao, Jincheng and Lyu, Zeyu and Yao, Zheng-an}, title = {Optimal decay rate for higher-order derivatives of the solution to the {Lagrangian-averaged} {Navier{\textendash}Stokes-}$\alpha$ equation in $\mathbb{R}^3$ }, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {761--791}, year = {2022}, volume = {39}, number = {4}, doi = {10.4171/aihpc/19}, language = {en}, url = {https://www.numdam.org/articles/10.4171/aihpc/19/} }