赵 泽华

赵泽华 职称：准聘教授 电子邮箱：zzh@bit.edu.cn, zzhnkujhu@gmail.com
赵泽华是数学与统计学院教授、博士生导师，于2021年夏加入北京理工大学数学与统计学院工作。在此之前，分别于美国约翰霍普金斯大学（2014年秋-2019年夏）和马里兰大学（2019年秋-2021年夏）做博士和博后，合作导师为B. Dodson、M. Machedon、M. Grillakis等著名数学家；长期从事偏微分方程领域的研究，具体来说，分别为色散方程、多体问题及随机色散方程这几个方向，已发表学术论文18篇，相关研究成果发表于Comm. Math. Phys., SIAM J. Math. Anal., Ann. Henri Poincaré, Comm. Partial Differential Equations等国际权威学术期刊，受到了M. Christ、B. Schlein、G. Staffilani、M. Röckner、Y. Sire、T. Cazenave等著名数学家的引用或好评（谷歌学术引用224次）；现为Mathematical Reviews（数学评论）评论员 ，德国数学文摘（Zentralblatt MATH）评论员；主持国家自然科学基金（青年）一项、校青年人才启动项目一项，参加国家自然科学基金（面上）一项、教育教学改革项目一项，并于2022年入选国家高层次人才计划（青年项目）。 如果有对我的科研方向感兴趣的同行、学生，非常欢迎与我联系！
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色散方程，随机色散方程，多体问题，调和分析。

► 09/2014--06/2019, 数学博士，约翰霍普金斯大学（Johns Hopkins University）. 导师：Benjamin Dodson教授。
► 09/2010--06/2014, 数学学士（伯苓班），南开大学

2022年10月-至今: 北京理工大学，准聘教授、博士生导师、青年领军人才
2021夏-2022年10月: 北京理工大学，副研究员
2019-2021夏：美国马里兰大学，诺维科夫博后，博后导师：Matei Machedon教授和 Manoussos Grillakis教授

五年内部分学术代表作：
[1] Z. Zhao, Global well-posedness and scattering for the defocusing cubic Schrődinger equation on waveguide R2×T2, Journal of Hyperbolic Differential Equations, Vol. 16, No. 1 (2019) 1-57.
[2] C. Gao and Z. Zhao, On scattering for the defocusing high dimensional inter-critical NLS, Journal of Differential Equations, Volume 267, Issue 11, Pages 6198-6215.
[3] X. Cheng, Z. Guo, and Z. Zhao, On scattering for the defocusing quintic nonlinear Schrődinger equation on the two dimensional cylinder, SIAM Journal on Mathematical Analysis, 52 (2020), no. 5, 4185-4237.
[4] X. Cheng Z. Zhao and J. Zheng, Well-posedness for energy-critical NLS on waveguide manifold, Journal of Mathematical Analysis and Applications, Volume 494, Issue 2, 15 February 2021.
[5] Z. Zhao, On scattering for the defocusing nonlinear Schrődinger equation on waveguide Rm×T (when m=2,3), Journal of Differential Equations, Volume 275, 25 February 2021, Pages 598-637.
[6] C. Fan and Z. Zhao, Decay estimates for nonlinear Schrődinger equations, Discrete Contin. Dyn. Syst., 41 (2021), no. 8, 3973-3984.
[7] X. Yu, H. Yue, Z. Zhao, Global well-posedness for the focusing, cubic NLS on product space R×T3, SIAM Journal on Mathematical Analysis, Vol. 53, Issue. 2; Pages. 2243-2274.
[8] Z. Zhao and J. Zheng, Long time dynamics for defocusing cubic NLS on three dimensional product space, SIAM Journal on Mathematical Analysis, Vol. 53, No. 3, pp. 3644-3660.
[9] J. Chong, M. Grillakis, M. Machedon and Z. Zhao, Global estimates for the Hartree-Fock-Bogoliubov Equation, Communications in Partial Differential Equations, 46 (2021), no. 10, 2015–2055.
[10] J. Chong and Z. Zhao, Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons, Ann. Henri Poincaré, 23 (2022), no. 2, 615–673.
[11] C. Fan and Z. Zhao, A note on decay property of nonlinear Schrődinger equations, Proceedings of AMS, Volume 151, Number 6, June 2023, Pages 2527–2542..
[12] X. Yu, H. Yue, Z. Zhao, On the decay property of cubic fourth order Schrődinger equation, Proceedings of AMS, Volume 151, Number 6, June 2023, Pages 2619–2630.
[13] K. Yang and Z. Zhao, On scattering asymptotics for the 2D cubic resonant system, Journal of Differential Equations, Vol. 345, 5 February 2023, Pages 447-484.
[14] Q. Su and Z. Zhao, Dynamics of subcritical threshold solutions for energy-critical NLS, Dynamics of Partial Differential Equations, Vol. 20, No. 1 (2023), pp. 37-72.
[15] Y. Sire, X. Yu, H. Yue and Z. Zhao, Singular Levy processes and dispersive effects of generalized Schrődinger equations, Dynamics of Partial Differential Equations, Volume 20, Number 2, 2023, Pages: 153-178.
[16] C. Fan, W. Xu and Z. Zhao, Long time behavior of stochastic NLS with a small multiplicative noise, to appear in Communications in Mathematical Physics.

其他成果及预印本结果见arXiv.
Personal page: https://sites.google.com/view/zehuazhao/home