按照研究类型，五年内部分学术代表作（2020年至今）分别介绍如下：
非线性色散方程的适定性与长时间动力学（特别是在混合空间意义下）
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 (2020).
X. Yu, H. Yue, Z. Zhao, Global well-posedness for the focusing, cubic NLS on product space R×T3, SIAM Journal on Mathematical Analysis (2021).
Z. Zhao and J. Zheng, Long time dynamics for defocusing cubic NLS on three dimensional product space, SIAM Journal on Mathematical Analysis (2021).
X. Yu, H. Yue and Z. Zhao, Global well-posedness and scattering for fourth order Schrődinger equation on waveguide manifold, SIAM Journal on Mathematical Analysis (2024).
非线性色散方程的衰减性质
C. Fan, G. Staffilani and Z. Zhao, On decaying properties of nonlinear Schrődinger equations, SIAM Journal on Mathematical Analysis (2024).
C. Fan, R. Killip and M. Visan and Z. Zhao, Dispersive decay for the mass-critical nonlinear Schrődinger equation, Mathematische Zeitschrift (2025).
量子多体问题与HFB系统的动力学
J. Chong, M. Grillakis, M. Machedon and Z. Zhao, Global estimates for the Hartree-Fock-Bogoliubov Equation, Communications in Partial Differential Equations (2021).
J. Chong and Z. Zhao, Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons, Ann. Henri Poincaré (2022).
J. Chong, X. Dong, M. Grillakis, M. Machedon and Z. Zhao, Global uniform in N estimates for solutions of a system of Hartree-Fock-Bogoliubov type in the case beta<1, Peking Mathematical Journal (2024).
随机非线性色散方程的长时间动力学
C. Fan, W. Xu and Z. Zhao, Long time behavior of stochastic NLS with a small multiplicative noise, Communications in Mathematical Physics (2023).
C. Fan and Z. Zhao, On long time behavior for stochastic nonlinear Schrődinger equations with a multiplicative noise, International Mathematics Research Notices (2024).
与色散方程关系紧密的分析问题（及其在方程的应用）
Y. Deng, C. Fan, K. Yang, Z. Zhao and J. Zheng, On bilinear Strichartz estimates on waveguides with applications, Journal of Functional Analysis (2024).
Y. Deng, B. Di, C. Fan and Z. Zhao, Bilinear estimate for Schrődinger equation on RT, Preprint (2024).
Y. Deng, H. Wang, Y. Wang and Z. Zhao, On restricted-type Strichartz estimates and the applications, Preprint (2025).
Y. Deng, Y. Zhang and Z. Zhao, Sharp bilinear eigenfunction estimate, $L^\infty_{x_2}L^p_{t,x_1}$-type Strichartz estimate, and energy-critical NLS, Preprint (2025).
Y. Deng, C. Fan and Z. Zhao, Sharp Strichartz estimate for the hyperbolic Schrődinger
equation on RT, Preprint (2025).
完整成果及预印本结果请参考arXiv, Mathematical Reviews, Zentralblatt MATH等平台.
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