郑孝信

姓     名

郑孝信(硕导)

职     称    

讲师

所属系别    

数学系

学科专业    

偏微分方程、调和分析

办公地点    

图书馆西配楼505  

办公电话    

电子邮件    

xiaoxinzheng@buaa.edu.cn

教育背景

2007年毕业于山东师范大学;

2010年获首都师范大学硕士学位, 导师: 酒全森教授;

2013年获中国工程物理研究院博士学位, 导师:苗长兴研究员。

工作简历

2013年9月--2014年9月,波兰弗罗茨瓦夫大学,数学研究所,博士后, 合作导师:G. Karch;

2015年1月-- 至今,北京航空航天大学,数学与系统科学学院,讲师
科研项目


主持项目:  

1: 国家自然科学基金青年科学基金项目,11501020, 不可压缩流体动力学方程的调和分析方法,2016/01-2018/12;

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,2019/01-2022/12;
参与项目:

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, 2018/01-2021/12

发表论文

 

1:Quansen Jiu, Huan Yu, Xiaoxin Zheng, Remarks on well-posedness of the generalized surface quasi-geostrophic equation, accepted by Arch. Rational Mech. Anal., DOI: 10.1007/s00205-018-1320-7,2018

2: Qionglei Chen,  Changxing Miao, Xiaoxin Zheng, The two-dimensional Euler equations in Yudovich type space and bmo-type space, accepted by Revista Matematica Iberoamericana, DOI:10.1007/s00209-017-1934-8,2018
3: Xiang Bai, Xiaoxin Zheng, Global  in time solutions to three-dimensional magnetohydrodynamics equations with a class of large initial data,  accepted by Colloquium Mathematicum, 2018
 

4: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.
5: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.
6: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.
7: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.
8: Grzegorz Karch, Xiaoxin Zheng, Time-dependent singularities in the Navier-Stokes system, Discrete Contin. Dyn. Syst. 35 (2015), 3039--3057.
9:Qian Zhang,Xiaoxin Zheng, Global well-posedness for the two dimensional incompressible chemotaxis-Navier-Stokes equations, SIAM J. Math. Anal. 46 (2014),  3078--3105.
10:Changxing Miao,Xiaoxin Zheng, Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity, Journal de Mathematiques Pures et Appliquees, 101 (2014),  842--872.
11: 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.
12: 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.
13: Changxing Miao, Xiaoxin Zheng, On the global well-posedness for the Boussinesq system with horizontal dissipation, Communications in Mathematical Physics,  321 (2013), 33--67.
14: Fuyi Xu, Qian Zhang, Xiaoxin Zheng, Regularity criteria of the 3D Boussinesq equations in the Morrey-Campanato space, Acta Appl. Math. 121 (2012), 231--240.
15: Quansen Jiu, Xiaoxin Zheng, Global well-posedness of the compressible Euler with damping in Besov spaces,   Math. Methods Appl. Sci. 35 (2012), 1570--1586.
16: 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.
17: Xiaoxin Zheng, Global well-posedness for the compressible Navier-Stokes- Poisson system in the Lp framework, Nonlinear Anal. 75 (2012), no. 10, 4156--4175.
18: Gang Wu, Xiaoxin Zheng, On the well-posedness for Keller-Segel system with fractional diffusion, Math. Methods Appl. Sci. 34 (2011), 1739--1750.
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