
姓 名: 郑孝信
职 称: 副教授(博导)
所属系别: 应用数学系
学科专业: 偏微分方程、调和分析、偏微分方程建模与仿真
办公地点: 沙河主楼E603-7
办公电话:
电子邮箱:xiaoxinzheng@buaa.edu.cn
教育背景
(1) 山东师范大学 2007 学士
(2) 首都师范大学 2010 硕士
(3) 中国工程物理研究院 2013 博士
工作简历
(1) 201309-201409, 波兰,Wroclaw University大学, 博士后
(2) 201501-至今, 北京航空航天大学数学科学学院, 副教授、博士生导师
科研项目
1. 国家自然科学基金面上项目,12371231,有关趋化Navier-Stokes方程的定性研究,2024-01至2027-12,43.5万元,在研,主持
2. 国家自然科学基金面上项目,11871087,在流体动力学方程和Keller-Segel方程中的调和分析方法,2019-01至2022-12,55万元,已结题,主持
3. 国家自然科学基金面上项目,11771423,关于一些流体动力学方程的数学理论,2018-01至2021-12,48万元,已结题,参加
4. 国家自然科学基金青年项目,11501020,不可压缩流体动力学方程的调和分析方法,2016-01至2018-12,17万元,已结题,主持
代表作论著
[1] Ruiyu Zhang, Xiaoxin Zheng, Wenhong Fan, et al., Fate models of nanoparticles in the environment: a critical review and prospects, Environ. Sci.: Nano, 2025, 12, 3394-3412.
[2] Yao Nie, Xiaoxin Zheng, Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth, J. Differential Equations 425 (2025), 1–58.
[3] Changxing Miao, Xiaoxin Zheng, Global regularity and decay behavior for Leray equations with critical-dissipation and its application to self-similar solutions, Trans. Amer. Math. Soc. 377 (2024), no. 6, 4365-4433.
[4] Baishun Lai, Jingyue Li, Xiaoxin Zheng, Local L2 theory of the fractional Navier-Stokes equations and the self-similar solution, Sci. China Math. 66 (2023), no. 3, 503-570.
[5] Qian Zhang, Xiaoxin Zheng, Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source, J. Differential Equations 274 (2021), 576-612.
[6] Yao Nie, Xiaoxin Zheng, Global well-posedness for the two-dimensional coupled chemotaxis-generalized Navier-Stokes system with logistic growth, J. Differential Equations 269 (2020), no. 6, 5379-5433.
[7] Baishun Lai, Changxing Miao, Xiaoxin Zheng, Forward self-similar solutions of the fractional Navier-Stokes equations, Adv. Math. 352 (2019), 981-1043.
[8] Quansen Jiu,Huan Yu,Xiaoxin Zheng, Remarks on well-posedness of the generalized surface quasi-geostrophic equation, Arch. Ration. Mech. Anal. 232 (2019), no. 1, 265-301.
[9] Qionglei Chen, Changxing Miao, Xiaoxin Zheng, The two-dimensional Euler equations in Yudovich type space and bmo-type space, Rev. Mat. Iberoam. 35 (2019), no. 1, 195-240.
[10] Yao Nie, Xiaoxin Zheng, Ill-posedness of the 3D incompressible hyperdissipative Navier-Stokes system in critical Fourier-Herz spaces, Nonlinearity 31 (2018), no 7, 3115-3150.
[11] Jingyue Li, Xiaoxin Zheng, The well-posedness of the incompressible magnetohydro dynamic equations in the framework of Fourier-Herz space, J. Differential Equations 263 (2017), no. 6, 3419-3459.
[12] Quansen Jiu, Huan Yu, Xiaoxin Zheng, Global well-posedness for axisymmetric MHD system with only vertical viscosity, 263 (5) (2017), J.Differential Equations 263 (2017), no. 5 2954-2990.
[13] Zhijie Nan, Xiaoxin Zheng, Existence and uniqueness of solutions for Navier–Stokes equations with hyper-dissipation in a large space, J. Differential Equations261 (2016), 3670-3703.
[14] Qian Zhang, Xiaoxin Zheng, Global well-posedness for the two dimensional incompressible chemotaxis-Navier-Stokes equations, SIAM J. Math. Anal. 46 (2014), 3078-3105.
[15] Changxing Miao, Xiaoxin Zheng, Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity, Journal de Mathematiques Pures et Appliquees, 101 (2014), 842-872.
[16] Xiaoxin Zheng, A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component, Journal of Differential Equations, 256 (2014), 283-309.
[17] Gang Wu, Xiaoxin Zheng, Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation, Journal of Differential Equations, 255 (2013), 2891-2926.
[18] Changxing Miao, Xiaoxin Zheng, On the global well-posedness for the Boussinesq system with horizontal dissipation, Communications in Mathematical Physics, 321 (2013), 33-67.
[19] Liutang Xue, Xiaoxin Zheng, Note on the well-posedness of a slightly super- critical surface quasi-geostrophic equation, Journal of Differential Equations, 253 (2012), no.2, 795-813.
教学活动
(1) 本科教学 《偏微分方程》《概率统计》《工科数学分析》
(2) 研究生课程 《现代偏微分方程》
所获奖励
(1) 2025 年度拔尖计划 2.0 研究课题, 一般课题, “面向全球胜任力的北航数学拨尖人才培养模式” , 核心骨干成员,2025。
(2) 校级优秀教学成果一等奖,“数学拔尖人才的“两段双线”培养模式”,北航,核心骨干成员,2024。
社会工作
美国数学会《数学评论》(Mathematical Reviews)评论员
推荐链接
https://mathscinet.ams.org/mathscinet