基本信息:

        周道国，男，汉族，1981年生，河南信阳人，理学博士，河南理工大学副教授。

        E-mail：daoguozhou@hpu.edu.cn
教育经历: 
        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.

学术交流：
        2017.11-2018.11，牛津大学数学研究所

教学情况:

        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

        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

研究兴趣:

        流体力学中的偏微微分方程的数学理论，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.

科研项目:

        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.

代表性论文:

        1.Zhouyu Li, Daoguo Zhou. On endpoint regularity criterion of the 3D Navier–Stokes equations. Dyn. Partial Differ. Equ. 18 (2021), no. 1, 71–80.

        2.Guoliang He, Yanqing Wang, Daoguo Zhou. Lower bounds of blow up solution sin H^1_p(R3) of the Navier–Stokes equations and the quasi-geostrophic equation. Commun. Math. Sci. 18 (2020), no. 8, 2263–2270.

        3.Yanqing Wang, Gang Wu, and Daoguo Zhou.ε-regularity criteria in anisotropic Lebesgue spaces and Leray’s self-similar solutions to the 3D Navier-Stokes equations. Z. Angew. Math. Phys., 71(5):164, 2020.

        4.G. Seregin andDaoguo Zhou. Regularity of solutions to the Navier-Stokes equations in B^{−1}_{\infty,\infty}. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI),477: 119–128, 2018. reprinted in J. Math. Sci. (N.Y.) 244 (2020), no. 6, 1003–1009.

        5.Cheng He, Yanqing Wang, and Daoguo Zhou. New ε-regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale. J. Nonlinear Sci.,29(6):2681–2698, 2019.

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

        7.Quansen Jiu, Yanqing Wang, andDaoguo Zhou. On Wolf’s regularity criterion of suitable weak solutions to the Navier-Stokes equations.  J. Math. Fluid Mech., 21(2): Paper No. 22, 16, 2019.

        8.Daoguo Zhou, Zilai Li, Haifeng Shang, Jiahong Wu, Baoquan Yuan, and Jiefeng Zhao. Global well-posedness for the 2D fractional Boussinesq equations in the subcritical case. Pacific J. Math., 298(1):233–255, 2019.

        9.Yanqing Wang, Gang Wu, and Daoguo Zhou. Some interior regularity criteria involving two components for weak solutions to the 3D Navier-Stokes equations. J. Math. Fluid Mech., 20(4):2147–2159, 2018.

        10.Daoguo Zhou. Global regularity of the two-dimensional Boussinesq equations without diffusivity in bounded domains. Nonlinear Anal. Real World Appl., 43:144–154, 2018.

        11.Daoguo Zhou. Global well-posedness for an incompressible flow with intrinsic degrees of freedom in bounded domains. Appl. Anal., 96(6):1004–1015, 2017.

        12.Daoguo Zhou and Zilai Li. Global well-posedness for the 2D Boussinesq equations with zero viscosity. J. Math. Anal. Appl., 447(2):1072–1079, 2017.

        13.Yanqing Wang, Gang Wu, and Daoguo Zhou. Refined regularity class of suitable weak solutions to the 3D magnetohydrodynamics equations with an application. Z. Angew. Math. Phys., 67(6): Art. 136, 22, 2016.

        14.Cheng He and Daoguo Zhou. Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Math. Methods Appl. Sci., 37(8):1191–1205, 2014.

        15.Cheng He and Daoguo Zhou. The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Math. Methods Appl. Sci., 35(8):943–962, 2012.