周道国

姓名： 周道国

职称： 副教授

邮箱： dgzhou@hznu.edu.cn

个人简介：

周道国，男，汉族，1981年生，河南信阳人，理学博士.

2023-至今，杭州师范大学，副教授

2011-2022，河南理工大学，讲师、副教授

2017.11-2018.11，牛津大学数学研究所，访问学者

2008-2011，中科院数学与系统科学研究院应用数学研究所，理学博士

2005-2007, 浙江大学，理学硕士

2000-2004, 河南师范大学，理学学士

研究方向：流体力学中的偏微分方程，特别是千禧年公开问题三维不可压缩Naiver-Stokes方程光滑解的存在性.

教学与课程：  

本科生课程: 高等数学，线性代数，概率论与数理统计，概率论与数理统计（双语），复变函数与积分变换，偏微分方程，偏微分方程（双语），分析选讲，高等数学C，复变函数.

研究生课程: 数学物理方程，偏微分方程，泛函分析，索伯列夫空间，不可压缩流导论.

承担课题：

1.国家自然科学基金面上项目，批准号：12071113，不可压缩Navier-Stokes 方程解的正则性，2021-01至2024-12，51万元，在研，主持.

2.国家自然科学基金青年科学基金，批准号：11401176，不可压缩磁流体力学方程的一些数学问题，2015-01至2017-12，23万元，已结题，主持.

3.国家自然科学基金天元基金，批准号：11226169，具有内在自由度的不可压缩流体的数学理论，2013-01至2013-12，3万元，已结题，主持.

学术研究（部分成果）：

[1]Shuai Li, Wendong Wang, Daoguo Zhou. Remarks on interior regularity criteria without pressure for the Navier-Stokes equations. J. Differential Equations, 397 (2024), 80–105.

[2]Haifeng Shang, Daoguo Zhou. Optimal decay for the 2D anisotropic Navier-Stokes equations with mixed partial dissipation. Appl. Math. Lett. 144 (2023), Paper No. 108696, 7 pp.

[3]Daoguo Zhou. Regularity criteria in Lorentz spaces for the three dimensional Navier-Stokes equations. Acta Math. Sci. Ser. A (Chinese Ed.) 41 (2021), no. 5, 1396–1404.

[4]Zhouyu Li, Daoguo Zhou. On endpoint regularity criterion of the 3D Navier–Stokes equations. Dynamics of Partial Differential Equations, 18 (2021), no. 1, 71–80.

[5]G. Seregin and Daoguo Zhou. Regularity of solutions to the Navier-Stokes equations in $\dot{B}^{−1}_{\infty,\infty}. Journal of Mathematical Sciences, 244 (2020), no.6, 1003–1009.

[6]Guoliang He, Yanqing Wang, Daoguo Zhou. Lower bounds of blow up solutions in $H^1_p(R3)$ of the Navier–Stokes equations and the quasi-geostrophic equation. Communications in Mathematical Sciences, 18 (2020), no. 8, 2263–2270.

[7]Yanqing Wang, Gang Wu, Daoguo Zhou. Epsilon-regularity criteria in anisotropic Lebesgue spaces and Leray’s self-similar solutions to the 3D Navier-Stokes equations. Zeitschrift für angewandte Mathematik und Physik, 71(5):164, 2020.

[8]Cheng He, Yanqing Wang, Daoguo Zhou. New epsilon-regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale. Journal of Nonlinear Science, 29(6): 2681–2698, 2019.

[9]Yanqing Wang, Gang Wu, Daoguo Zhou. A regularity criterion at one scale without pressure for suitable weak solutions to the Navier-Stokes equations. Journal of Differential Equations, 267(8):4673–4704, 2019.

[10]Quansen Jiu, Yanqing Wang, Daoguo Zhou. On Wolf’s regularity criterion of suitable weak solutions to the Navier-Stokes equations. Journal of Mathematical Fluid Mechanics, 21(2): Paper No. 22, 16, 2019.

[11]Daoguo Zhou, Zilai Li, Haifeng Shang, Jiahong Wu, Baoquan Yuan, Jiefeng Zhao. Global well-posedness for the 2D fractional Boussinesq equations in the subcritical case. Pacific Journal of Mathematics, 298(1):233–255, 2019.

[12]Yanqing Wang, Gang Wu, Daoguo Zhou. Some interior regularity criteria involving two components for weak solutions to the 3D Navier-Stokes equations. Journal of Mathematical Fluid Mechanics, 20(4):2147–2159, 2018.