On the global regularity for a 3D Boussinesq model without thermal diffusion

In a recent paper (Ye in Z Angew Math Phys 68:83, 2017), Ye proved the global persistence of regularity for a 3D Boussinesq model in Hs(R3)×Hs(R3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H^{s}({\mathbb {R}}^3) \times H^{s}({\mathbb {R}}^3)$$\end{document} with s>5/2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$s>5/2$$\end{document}. In this paper, we show that the global persistence and uniqueness still hold when s>3/2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$s>3/2$$\end{document}.