赵泽华 - 北京理工大学 - 数学与统计学院

个人简介

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）。教育背景 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），南开大学工作经历 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

研究领域

色散方程，随机色散方程，多体问题，调和分析

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

Z. Zhao, Global well-posedness and scattering for the defocusing cubic Schr?dinger equation on waveguide R2×T2, Journal of Hyperbolic Differential Equations, Vol. 16, No. 1 (2019) 1-57. 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. X. Cheng, Z. Guo, and Z. Zhao, On scattering for the defocusing quintic nonlinear Schr?dinger equation on the two dimensional cylinder, SIAM Journal on Mathematical Analysis, 52 (2020), no. 5, 4185-4237. 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. Z. Zhao, On scattering for the defocusing nonlinear Schr?dinger equation on waveguide Rm×T (when m=2,3), Journal of Differential Equations, Volume 275, 25 February 2021, Pages 598-637. C. Fan and Z. Zhao, Decay estimates for nonlinear Schr?dinger equations, Discrete Contin. Dyn. Syst., 41 (2021), no. 8, 3973-3984. 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. 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. 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. J. Chong and Z. Zhao, Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons, Ann. Henri Poincaré, 23 (2022), no. 2, 615–673. C. Fan and Z. Zhao, A note on decay property of nonlinear Schr?dinger equations, Proceedings of AMS, Volume 151, Number 6, June 2023, Pages 2527–2542.. X. Yu, H. Yue, Z. Zhao, On the decay property of cubic fourth order Schr?dinger equation, Proceedings of AMS, Volume 151, Number 6, June 2023, Pages 2619–2630. 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. 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. Y. Sire, X. Yu, H. Yue and Z. Zhao, Singular Levy processes and dispersive effects of generalized Schr?dinger equations, Dynamics of Partial Differential Equations, Volume 20, Number 2, 2023, Pages: 153-178. 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.