Career • 2021.08- present, Assistant Professor, ShanghaiTech University • 2018.09-2021.05, Assistant Professor(NTT), University of Southern California Education • 2012.09-2018.09, Ph.D in Mathematics, University of Massachusetts Amherst • 2008.09-2012.09, B.S. in Mathematics, University of Science and Technology of China Research Interest My research interests include Nonlinear dispersive PDEs in both deterministic and probabilistic settings.
Selected Publications
[1] Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three (with Y. Deng and A. Nahmod). Journal of Mathematical Physics 62, no. 3 (2021): 031514. [2] Optimal local well-posedness for the periodic derivative nonlinear Schrödinger equation (with Y. Deng and A. Nahmod). Communications in Mathematical Physics 384, (2021): 1061–1107. [3] Global well-posedness for the energy-critical focusing nonlinear Schrödinger equation on T^4 . Journal of Differential Equations 280 (2021): 754-804 [4] Almost surely well-posedness for the cubic nonlinear Schrödinger equation in the supercritical regime on T^d , d ≥ 3. Stochastics and Partial Differential Equations: Analysis and Computations 9, (2021): 243–294. [5] Global Well-posedness for the focusing cubic NLS on the product space R × T^3 (with X. Yu and Z. Zhao). SIAM Journal on Mathematical Analysis 53, no. 2 (2021): 2243-2274. [6] Random tensors, propagation of randomness, and nonlinear dispersive equations (with Y. Deng and A. Nahmod). Invent. math. (2021). https://doi.org/10.1007/s00222-021-01084-8. [7] On the global well-posedness for the periodic quintic nonlinear Schrödinger equation (with X. Yu). arXiv:2011.12925. Submitted. [8] Almost sure existence of global weak solutions to the Boussinesq equations (with W. Wang). Dynamics of Partial Differential Equations 17, no. 2, 165–183 (2020). [9] Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two (with Y. Deng and A. Nahmod). arXiv:1910.08492. Submitted. [10] Self trapping transition for a nonlinear impurity within a linear chain (with M. Molina, P. Kevrekidis, and N. Karachalios). Journal of Mathematical Physics 55, no. 10 (2014): 102703. [11] Well-posedness for the cubic nonlinear Schrödinger equations on tori, Doctoral Dissertation. 2018.
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Email: yuehaitian@shanghaitech.edu.cn Office: S514, School of Creativity & Arts Personal Website: https://sites.google.com/view/yuehaitian
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