Hung V. Tran

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20232026

most citedQuantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications

1 citations · 1 across the 10 of their papers we have counts for

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math.AP2026

Pathological viscosity solutions of Hamilton--Jacobi equations

Hung V. Tran, Yifeng Yu

We construct a continuous function $u$ on the closed unit ball in $R^{4}$ and a smooth autonomous Hamiltonian $H : R^{4} \to [1, 2]$ for which $u$ solves $H (D u) = c$ in the…

math.AP2026

Vanishing discount and viscosity selection problems for mechanical Hamilton--Jacobi equations

Hiroyoshi Mitake, Panrui Ni, Hung V. Tran

We study simultaneous vanishing discount and viscosity limits for mechanical Hamilton--Jacobi equations on the $n$ -dimensional torus. In the critical regime, we explicitly identify…

math.AP2026

$L^{\infty}$ Variational Approximation of the Aubry Set

Hung V. Tran, Yifeng Yu

Let $H \in C^{\infty} (R^{n} \times T^{n})$ be a periodic Tonelli Hamiltonian with critical value $c$ . For each $k \in N$ , let $u_{k}$ be the normalized minimizer of the…

math.AP2026

Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations

Jiwoong Jang, Qi Sun, Hung V. Tran +1

We study the convergence rates in periodic homogenization of general nonconvex, coercive Hamilton--Jacobi equations. We show that the optimal convergence rate is $O(\varepsilon^{1/…

math.AP2026

Turbulent Flame Speed Can Increase under Curvature Smoothing

Hung V. Tran, Jack Xin, Yifeng Yu

Curvature effects are expected to smooth flame-front wrinkles and thereby reduce turbulent flame speed. We construct a smooth three-dimensional periodic shear flow for which introd…

math.AP2026

Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations

Ziran Liu, Hung V. Tran, Yifeng Yu

We study the periodic homogenization of the viscous Hamilton--Jacobi equation \[ u_t^\varepsilon + \frac{1}{2}|Du^\varepsilon|^2 + V\!\left(\frac{x}{\varepsilon}\right) = \frac{\va…

Pathological viscosity solutions of Hamilton--Jacobi equations

Vanishing discount and viscosity selection problems for mechanical Hamilton--Jacobi equations

L∞ Variational Approximation of the Aubry Set

Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations

Turbulent Flame Speed Can Increase under Curvature Smoothing

Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations

$L^{\infty}$ Variational Approximation of the Aubry Set