• 133
    Citations
  • 7
    h-index
Calculated based on number of publications stored in Pure and citations from Scopus
20192023

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Research activity per year

Personal profile

Personal profile

Zhao Zehua Professional Title: Associate Professor E-mail: zzh@bit.edu.cn, zzhnkujhu@gmail.com
Zhao Zehua is a professor and doctoral supervisor of the School of Mathematics and Statistics. He joined the School of Mathematics and Statistics of Beijing Institute of Technology in the summer of 2021. Prior to that, he worked as a PhD student at Johns Hopkins University (Fall 2014 - Summer 2019) and a PhD student at the University of Maryland (Fall 2019 - Summer 2021). His co-mentors were B. Dodson, M. Machedon, M. Grillakis and other famous mathematicians. He has been engaged in research in the field of partial differential equations for a long time, specifically in the directions of dispersion equation, multi-body problem and random dispersion equation, and has published 18 academic papers. Relevant research results have been published in international authoritative academic journals such as Comm. Math. Phys., SIAM J. Math. Anal., Ann. Henri Poincare, Comm. Partial Differential Equations. Has been cited or praised by famous mathematicians such as M. Christ, B. Schlein, G. Staffilani, M. Rockner, Y. Sire, T. Cazenave, etc. (Google Academic citations 224 times); He is currently a reviewer of Mathematical Reviews and a reviewer of Zentralblatt MATH. He presided over a National Natural Science Foundation (youth) project, a university youth talent start-up project, participated in a National Natural Science Foundation (surface) project, an education and teaching reform project, and was selected into the National High-level Talent Program (youth project) in 2022. If there are colleagues and students who are interested in my scientific research direction, I am very welcome to contact me!
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Research Interests

Dispersion equation, random dispersion equation, many-body problem, harmonic analysis.

Education

► 09/2014--06/2019, PhD in Mathematics, Johns Hopkins University. Supervisor: Professor Benjamin Dodson.
► 09/2010--06/2014, Bachelor of Mathematics (Boling), Nankai University

Professional Experience

October 2022 - present: Beijing Institute of Technology, Prospective Professor, doctoral supervisor, Young leading talent
Summer 2021 - October 2022: Associate Professor, Beijing Institute of Technology
Summer 2019-2021: University of Maryland, USA, after Novikov's lecture, Post-lecture tutors: Professor Matei Machedon and Professor Manoussos Grillakis

Research Achievement

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

Expertise related to UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

  • SDG 7 - Affordable and Clean Energy

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