Son Tu, Ph.D.

Education

Ph.D., University of Wisconsin-Madison, 2022 
B.S., University of Science, Vietnam National University HCMC, 2015

Biography

Dr. Tu joined Baylor University in 2025, following three years as a Visiting Assistant Professor at Michigan State University under the mentorship of Olga Turanova. He received his PhD from the University of Wisconsin–Madison under the supervision of Hung Tran.

Academic Interests

Dr. Tu’s research focuses on nonlinear partial differential equations, with a particular focus on Hamilton–Jacobi equations and related free-boundary problems. His work spans a broad range of topics, including integro-differential equations, optimal control, homogenization, and dynamical systems.

If you are an undergraduate or graduate student interested in my research topics, feel free to email me to discuss potential research opportunities or simply to explore and learn more. I would be happy to hear from you.

I am serving as a Guest Editor for the collection Optimal Control, Mean-Field Games, and PDEs in Decision Models, in Advances in Continuous and Discrete Models. Together with Yeoneung Kim, we welcome submissions related to the topic. Please contact me if you are interested in contributing. The submission deadline is December 18, 2026. See the call for papers for details.

Preprints

• Operator Splitting, Policy Iteration, and Machine Learning for Stochastic Optimal Control
  (with Alain Bensoussan, Thien P.B. Nguyen, Minh-Binh Tran)
  preprint
• Quantitative homogenization of Hamilton--Jacobi equations on perforated domains with Dirichlet boundary conditions 
  (with Yuxi Han)
  preprint, submitted
• Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains 
  (with Jianlu Zhang),
  preprint, submitted
• Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions
  (with Russell Schwab and Olga Turanova)
  preprint, submitted

Publications

• On the rate of convergence in superquadratic Hamilton--Jacobi equations with state constraints 
  (with Prerona Dutta and Khai T. Nguyen)
  Nonlinear Differential Equations and Applications NoDEA, Volume 33, 63, (2026).
• Polynomial convergence rate for quasiperiodic homogenization of Hamilton-Jacobi equations 
  (with Bingyang Hu and Jianlu Zhang)
  Communications in Partial Differential Equations 50, no. 1–2 (February 1, 2025): 211–44.
• On the regularity of stochastic effective Hamiltonian
  (with Jianlu Zhang)
  Proceedings of the American Mathematical Society 153 (2025), pp. 1191-1203.
• Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint
  (with Jianlu Zhang)
  Journal of Differential Equations 406 (2024), 87-125
• The regularity with respect to domains of the additive eigenvalues of superquadratic Hamilton-Jacobi equation
  (with Farid Bozorgnia and Dohyun Kwon)
  Journal of Differential Equations 402 (2024), 518-553
• Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations 
  (with Yuxi Han)
  Applied Mathematics & Optimization 86, 1 (2022), 3
• Vanishing discount problems for Hamilton-Jacobi equations on changing domains
  Journal of Differential Equations 317 (2022), 32–69
• State-Constraint Static Hamilton–Jacobi Equations in Nested Domains
  (with Yeoneung Kim and Hung V. Tran), 
  SIAM Journal on Mathematical Analysis 52, 5 (2020), 4161–4184
• Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension
  Asymptotic Analysis 121, 2 (2021), 171–194
• Unequal Covariance Awareness for Fisher Discriminant Analysis and Its Variants in Classification
  (with Thu Nguyen, Quang M. Le, Binh T. Nguyen)
  2022 International Joint Conference on Neural Networks (IJCNN), (Jul. 2022)