HKU Tak Kwong WONG

Postdoc Research Opportunity:

   I am interested in hiring a post-doctoral scholar to work with me in the mathematical analysis of partial differential equations. The start date is really flexible. Interested applicants can send their CV's, as well as other relevant application materials to me via email.

Seminar and Symposium on Partial Differential Equations:

   I am currently organizing the Analysis and PDE Seminar, which covers a wide range of topics in analysis and partial differential equations (PDE), jointly with Prof. Hantaek Bae (from UNIST, Korea) and Yong Yu (from CUHK, Hong Kong). Recently, I have also organized the Symposium on Partial Differential Equations (PDE) 2021, jointly with Anthony Suen (from EdUHK, Hong Kong).

   Please feel free to contact me if you would like to contribute a talk in our Analysis and PDE Seminar or coming symposium. I will be happy to make such an arrangement if possible.

Summer Research Opportunity for Students:

   For outstanding undergraduate students who are interested in working with me during the summer, please consider the Summer Research Fellowship (SRF) in the Faculty of Science, HKU.

Research Interests:

  Nonlinear Partial Differential Equations, Analysis, Applied Mathematics, Control Theory, and Optimization.

In particular, I am strongly interested in the following topics:

  Fluid Dynamics

  Kinetic Theory

  Mathematical Biology

  Mathematical Economics/Finance

  Mean-field Type Control Problems, and

  Mean-field Games

Following are some published papers, as well as preprints. (The papers on arXiv are NOT their final versions.)


Title Journal Final Version Preprint Version Remark
Regularity structure of conservative solutions to the Hunter-Saxton equation. To appear in SIAM J. Math. Anal.
with Yu Gao, and Hao Liu
arXiv
The inverse first passage time problem for killed Brownian motion. Ann. Appl. Probab., 30 (2020), no. 3, 1251-1275.
with Boris Ettinger, and Alexandru Hening
Ann. Appl. Probab. arXiv
Asymptotic harvesting of populations in random environments. J. Math. Biol. 78 (2019), issue 1-2, 293-329.
with Alexandru Hening, Dang H. Nguyen, and Sergiu C. Ungureanu
J. Math. Biol. arXiv EurekAlert!
A probabilistic proof for Fourier inversion formula. Statistics & Probability Letters 141 (2018), 135-142.
with Sheung Chi Phillip Yam
Statistics & Probability Letters Citation in Wikipedia
Optimal liquidation problems in a randomly-terminated horizon. Preprint (2017).
with Qing-Qing Yang, Wai-Ki Ching, and Jia-Wen Gu
arXiv
Axisymmetric flow of ideal fluid moving in a narrow domain: a study of the axisymmetric hydrostatic Euler equations. J. Differential Equations 260 (2016), no. 5, 4619-4656.
with Robert M. Strain
J. Differential Equations arXiv
Local-in-time existence and uniqueness of solutions to the Prandtl equations by energy methods. Comm. Pure Appl. Math. 68 (2015), 1683-1741.
with Nader Masmoudi
Comm. Pure Appl. Math. arXiv
Blowup of solutions of the hydrostatic Euler equations. Proc. Amer. Math. Soc. 143 (2015), 1119-1125.
Proc. Amer. Math. Soc. arXiv
Long time solutions for a Burgers-Hilbert equation via a modified energy method. Proc. Amer. Math. Soc. 143 (2015), 3407-3412.
with John K. Hunter, Mihaela Ifrim, and Daniel Tataru
Proc. Amer. Math. Soc. arXiv
On the local well-posedness of the Prandtl and hydrostatic Euler equations with multiple monotonicity regions. SIAM J. Math. Anal. 46 (2014), no. 6, 3865-3890.
with Igor Kukavica, Nader Masmoudi, and Vlad Vicol
SIAM J. Math. Anal. arXiv
On the Hs theory of hydrostatic Euler equations. Arch. Ration. Mech. Anal. 204 (2012), no. 1, 231-271.
with Nader Masmoudi
Arch. Ration. Mech. Anal.