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赵泽华

个人简介

           


Personal Information

Name:  Zehua Zhao (赵泽华)  赵泽华.jpg

Born:  1991 Aug. Hebei, China

Email:  zzh@bit.edu.cn, zzhnkujhu@gmail.com  

Institute:  School of Mathematics and Statistics, BIT, 100081, P.R. China

Address: No.5 Zhongguancun South Street, Haidian District, Beijing, P.R. China




Educational Background

► 09/2014--06/2019, PhD in Mathematics, Johns Hopkins University. Supervisor: Prof. Benjamin Dodson.

► 09/2010--06/2014, Bachelor in Mathematics, Nankai University, China



Working Experience

► 06/2021--Present, Assistant Professor, School of Mathematics and Statistics, Beijing Institute of Technology

► 08/2019--08/2020, Serguei Novikov Postdoctoral Fellow, University of Maryland. Mentors: Prof. Matei Machedon and Prof. Manoussos Grillakis



Teachings



Publications

[1] Global well-posedness and scattering for the defocusing cubic Schr{\"o}dinger 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 Schr\"odinger 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 Schr{\"o}dinger 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 Schr\"odinger 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. Doi:10.1080/03605302.2021.1920615 (arXiv: 2008.01753)

[10] Dynamical Hartree-Fock-Bogoliubov approximation of interacting Bosons, (joint with J. Chong), to appear in Annales Henri Poincar\'e. (arXiv: 1711.00610)



Visiting Positions



Research Projects



Awards, Honors and Recognitions



Graduate Students



Conference Talks and Invited Presentations



Conference Organization



Grants & Scholarships Assessor



International Refereed Journals



International Refereed Proceedings



Fundings

► 01/2022--12/2024, National Natural Science Foundation of China (NSFC) (Grant No. 12101046), Principal Investigator, (青年项目)

► 06/2021--present, Beijing Institute of Technology Research Fund Program for Young Scholars, Principal Investigator, (科研启动项目)



Interests

Nonlinear Dispersive Equations, Mathematical Physics, Stochastic PDE, and Harmonic Analysis.