趙澤華是數學與統計學院教授，博士生導師，2021年夏加入北京理工大學數學與統計學院工作。
基本介紹
- 中文名：趙澤華
- 國籍：中國
- 職業：教師
- 專業方向：數學
人物經歷,教育背景,工作經歷,研究方向,主要成就,社會任職,
人物經歷
教育背景
09/2014--06/2019, 數學博士，約翰霍普金斯大學（Johns Hopkins University）. 導師：Benjamin Dodson教授。
09/2010--06/2014, 數學學士（伯苓班），南開大學
工作經歷
2022年10月-: 北京理工大學，準聘教授、博士生導師、青年領軍人才
2021夏-2022年10月: 北京理工大學，副研究員
2019-2021夏：美國馬里蘭大學，諾維科夫博後，博後導師：Prof. Matei Machedon and Prof. Manoussos Grillakis
研究方向
主要成就
趙澤華是數學與統計學院教授、博士生導師，於2021年夏加入北京理工大學數學與統計學院工作；在此之前，分別於美國約翰霍普金斯大學（2014-2019）和馬里蘭大學（2019-2021）做博士和博後，合作導師為B.Dodson、M. Machedon、M. Grillakis等著名數學家；長期從事偏微分方程領域的研究，具體來說，分別為色散方程、多體問題及隨機色散方程這幾個方向，已發表學術論文18篇，相關研究成果發表於Comm. Math. Phys., SIAM J. Math. Anal., Ann. Henri Poincaré, Comm. Partial Differential Equations等國際知名學術期刊，受到了M. Christ、B. Schlein、G. Staffilani、M. Röckner、Y. Sire、T. Cazenave等著名數學家的引用或好評（谷歌學術引用224次）；現為Mathematical Reviews（數學評論）評論員 ，德國數學文摘（Zentralblatt MATH）評論員；主持國家自然科學基金（青年）一項、校青年人才啟動項目一項，參加國家自然科學基金（面上）一項、教育教學改革項目一項，並於2022年入選國家高層次人才計畫（青年項目）。五年內部分學術代表作：
[1] Global well-posedness and scattering for the defocusing cubic Schrodinger equation on waveguide $\mathbb{R}^2 \times \mathbb{T}^2$, Journal of Hyperbolic Differential Equations, Vol. 16, No. 1 (2019) 1-57.
[2] On scattering for the defocusing high dimensional inter-critical NLS (joint with C. Gao), Journal of Differential Equations, Volume 267, Issue 11, 15 November 2019, Pages 6198-6215.
[3] On scattering for the defocusing quintic nonlinear Schrodinger equation on the two dimensional cylinder (joint with X. Cheng and Z. Guo), SIAM Journal on Mathematical Analysis, 52 (2020), no. 5, 4185-4237.
[4] Well-posedness for energy-critical NLS on waveguide manifold (joint with X. Cheng and J. Zheng), Journal of Mathematical Analysis and Applications, Volume 494, Issue 2, 15 February 2021.
[5] On scattering for the defocusing nonlinear Schrodinger equation on waveguide $ \mathbb{R}^m \times \mathbb{T}$ (when $m=2,3$), Journal of Differential Equations, Volume 275, 25 February 2021, Pages 598-637.
[6] Decay estimates for nonlinear Schrodinger equations, (joint with C. Fan), Discrete and Continuous Dynamical Systems-A, Doi: 10.3934/dcds.2021024. (arXiv: 2007.04491).
[7] Global well-posedness for the focusing, cubic NLS on product space $\mathbb{R} \times \mathbb{T}^3$, (joint with X. Yu and H. Yue), SIAM Journal on Mathematical Analysis, Vol. 53, Issue. 2; Pages. 2243-2274.
[8] Long time dynamics for defocusing cubic NLS on three dimensional product space, (joint with J. Zheng), SIAM Journal on Mathematical Analysis, Vol. 53, No. 3, pp. 3644--3660.
[9] Global estimates for the Hartree-Fock-Bogoliubov Equation, (joint with J. Chong, M. Grillakis and M. Machedon), Comm. in PDE., 46 (2021), no. 10, 2015–2055.
[10]Dynamical Hartree-Fock-Bogoliubov approximation of interacting Bosons, (joint with J. Chong), Ann. Henri Poincar\'e, 23 (2022), no. 2, 615–673.
[11] A note on decay property of nonlinear Schrodinger equations (joint with C. Fan), Proceedings of AMS. (Doi:10.1090/proc/16296)
[12] On the decay property of cubic fourth order Schrodinger equation (joint with X. Yu and H. Yue), Proceedings of AMS. (Doi:10.1090/proc/16325)
[13] On scattering asymptotics for the 2D cubic resonant system (joint with K. Yang), Journal of Differential Equations, Vol. 345, 5 February 2023, Pages 447-484.
[14] Dynamics of subcritical threshold solutions for energy-critical NLS (joint with Q. Su), Dynamics of Partial Differential Equations, Vol. 20, No. 1 (2023), pp. 37-72.
[15] Singular Levy processes and dispersive effects of generalized Schrődinger equations (joint with Y. Sire, X. Yu and H. Yue), Dynamics of Partial Differential Equations, Volume 20, Number 2, 2023, Pages: 153-178.
[16] Long time behavior of stochastic NLS with a small multiplicative noise (joint with C. Fan and W. Xu), to appear in Communications in Mathematical Physics.
