HKU Tak Kwong WONG 



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ORCiD: 0000-0002-6454-984X

Google Scholar: Tak Kwong Wong

MR Author ID: 972012

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) 2022 and 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, as well as the Summer Research Programme organized by the Graduate School, 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

  Integrable Systems

  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
Optimal savings and value of population in a stochastic environment: transient behavior. Preprint (2024).
with Hao Liu, Suresh P. Sethi, and Sheung Chi Phillip Yam
 arXiv
A control theoretical approach to mean field games and associated master equations. Preprint (2024).
with Alain Bensoussan, Ho Man Tai, and Sheung Chi Phillip Yam
 arXiv
Global well-posedness of first-order mean field games and master equations with nonlinear dynamics. Preprint (2023).
with Alain Bensoussan, Sheung Chi Phillip Yam, and Hongwei Yuan
 arXiv
A theory of first order mean field type control problems and their equations. Preprint (2023).
with Alain Bensoussan, Sheung Chi Phillip Yam, and Hongwei Yuan
 arXiv
On the characterization, existence and uniqueness of steady solutions to the hydrostatic Euler equations in a nozzle. Arch. Ration. Mech. Anal. 248 (2024), Paper No. 116.
with Wang Shing Leung, and Chunjing Xie
 Arch. Ration. Mech. Anal. arXiv
Viscosity solution for optimal liquidation problems with randomly-terminated horizon. Finance Res. Lett. 61 (2024), 105043.
with Qing-Qing Yang, Wai-Ki Ching, Jia-Wen Gu and Dongmei Zhu
 Finance Res. Lett. SSRN
Asymptotic behavior of conservative solutions to the Hunter-Saxton equation. SIAM J. Math. Anal. 55 (2023), no. 5, 5483-5525.
with Yu Gao, and Hao Liu
 SIAM J. Math. Anal. arXiv
Stability of peakons of the Camassa-Holm equation beyond wave breaking. J. Math. Phys. 63, (2022), 121503.
with Yu Gao, and Hao Liu
 J. Math. Phys. arXiv
Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus. Kinetic & Related Models, 15 (2022), no. 4, 569-604.
with Jin Woo Jang, and Robert M. Strain
 Kinetic & Related Models arXiv
Regularity structure of conservative solutions to the Hunter-Saxton equation. SIAM J. Math. Anal., 54 (2022), no. 1, 423-452.
with Yu Gao, and Hao Liu
 SIAM J. Math. Anal. 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
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.