基本介紹
- 中文名：鄭孝信
- 學位/學歷：博士
- 職業：教師
- 專業方向：偏微分方程、調和分析
- 任職院校：北京航空航天大學
個人經歷,學術成果,
個人經歷
教育背景
2007年畢業於山東師範大學；
2010年獲首都師範大學碩士學位， 導師： 酒全森教授；
2013年獲中國工程物理研究院博士學位， 導師：苗長興研究員。
工作簡歷
2013年9月--2014年9月，波蘭弗羅茨瓦夫大學，數學研究所，博士後， 合作導師：G. Karch；
2015年1月-- 至今，北京航空航天大學，數學與系統科學學院，講師
學術成果
主持項目：
1: 國家自然科學基金青年科學基金項目, 不可壓縮流體動力學方程的調和分析方法，2016/01-2018/12；
參與項目：
國家自然科學基金面上項目, 關於一些流體動力學方程的數學理論, 2018/01-2021/12
發表論文
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.
