Son Tu
I am a Visiting Assistant Professor at The Mathematics Department at
Michigan State University working with Prof.
Olga Turanova. Before
that I was a Ph.D. student of Prof.
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.
- My paper On the regularity of stochastic effective Hamiltonian (with Jianlu Zhang) got accepted to Proceedings of AMS.
- I will be co-organizing (with Yuxi Han) the AMS Spring 2025 Central Sectional Meeting at the University of Kansas, Lawrence, on March 29-30, 2025.
- This Fall 2024, I am teaching MTH 234 - Calculus 3.
- I taught MTH 490 - Directed Study in Spring–Summer 2024. Minh Nguyen received the "Best Presentation Award" at the 21st Math Student Conference. You can view his presentation here.
- I was awarded the 2023–2024 Postdoctoral Prize for Teaching Excellence by MSU's Department of Mathematics.
Publications and preprints
-
Polynomial convergence rate for quasiperiodic homogenization of Hamilton-Jacobi equations
(with Jianlu Zhang and Bingyang Hu)
submitted · arxiv
-
Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions (with Russell Schwab and Olga Turanova)
submitted · arxiv
-
On the regularity of stochastic effective Hamiltonian (with Jianlu Zhang)
Accepted for publication in the *Proceedings of the American Mathematical Society (AMS). · arxiv*
-
Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint (with Jianlu Zhang)
Journal of Differential Equations 406 (2024), 87-125 · arxiv
- 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 · arxiv
-
Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations (with Yuxi Han)
Applied Mathematics & Optimization 86, 1 (2022), 3 · arxiv
-
Vanishing discount problems for Hamilton-Jacobi equations on changing domains
Journal of Differential Equations 317 (2022), 32–69 · arxiv
-
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
-
Rate of Convergence for Periodic Homogenization of Convex Hamilton-Jacobi
Equations in One Dimension
Asymptotic Analysis 121, 2 (2021), 171–194 · arxiv · errata
-
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
© 2016-2024 Son N. T. Tu. Powered by Ark. Last updated: October 02, 2024.