Son Tu

Từ Nguyễn Thái Sơn

Son Tu

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I am a Visiting Assistant Professor at The Mathematics Department at Michigan State University working with Olga Turanova. Before that I was a Ph.D. student of Hung V. Tran at University of Wisconsin - Madison.

My dissertation is about Partial Differential Equations, particularly questions related to Hamilton-Jacobi equations, asymptotic properties of solutions in connection with optimal control theory.


My current projects concentrate on the nonlinear behavior of solutions to certain types of Hamilton–Jacobi equations and their applications to the free boundary problem in some models of fluid dynamics.

I am teaching MTH 234 - Calculus 3 and Directed Studies MTH 490 - Directed Study this semester (Spring 2024). I've just received the 2023 – 2024 Postdoctoral Prize for Teaching Excellence from MSU's Department of Mathematics.

Publications and preprints

  1. Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions (with Russell Schwab and Olga Turanova)   ·   submitted   ·   arxiv

  1. On the regularity of stochastic effective Hamiltonian (with Jianlu Zhang)   ·   submitted   ·   arxiv

  1. Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint (with Jianlu Zhang)   ·   submitted   ·   arxiv

  1. The regularity with respect to domains of the additive eigenvalues of superquadratic Hamilton–Jacobi equation (with Farid Bozorgnia and Dohyun Kwon)   ·   to appear in Journal of Differential Equations   ·   arxiv

  1. Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations (with Yuxi Han)   ·   Applied Mathematics & Optimization 86, 1 (2022), 3   ·   arxiv

  1. Vanishing discount problems for Hamilton-Jacobi equations on changing domains   ·   Journal of Differential Equations 317 (2022), 32–69   ·   arxiv

  1. 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   ·   arxiv

  1. Rate of Convergence for Periodic Homogenization of Convex Hamilton-Jacobi Equations in One Dimension   ·   Asymptotic Analysis 121, 2 (2021), 171–194   ·   arxiv   ·   errata

  1. Some asymptotic problems on the theory of viscosity solutions of Hamilton–Jacobi equations   ·   Ph.D. Thesis (2022)

Contact Information

Department of Mathematics
Michigan State University
East Lansing, MI 48824.
C330 Wells Hall, 619 Red Cedar.
E-mail: tuson@msu.edu

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