48 citations · 347 across the 57 of their papers we have counts for
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Effective fronts of polygon shapes in two dimensions
Wenjia Jing, Hung V. Tran, Yifeng Yu
We study the effective fronts of first order front propagations in two dimensions () in the periodic setting. Using PDE-based approaches, we show that for every ,…
Optimal convergence rate for periodic homogenization of convex Hamilton-Jacobi equations
Hung V. Tran, Yifeng Yu
In this paper, we show that the rate of convergence in periodic homogenization of convex Hamilton-Jacobi equations is always , which is optimal. This is a natural e…
A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications
Thuy T. Le, Loc H. Nguyen, Hung V. Tran
We propose a new iterative scheme to compute the numerical solution to an over-determined boundary value problem for a general quasilinear elliptic PDE. The main idea is to repeate…
Level-set forced mean curvature flow with the Neumann boundary condition
Jiwoong Jang, Dohyun Kwon, Hiroyoshi Mitake +1
Here, we study a level-set forced mean curvature flow with the homogeneous Neumann boundary condition. We first show that the solution is Lipschitz in time and locally Lipschitz in…
Degenerate linear parabolic equations in divergence form on the upper half space
Hongjie Dong, Tuoc Phan, Hung Vinh Tran
We study a class of second-order degenerate linear parabolic equations in divergence form in with homogeneous Dirichlet boundary condition on $(…
On a class of divergence form linear parabolic equations with degenerate coefficients
Tuoc Phan, Hung Vinh Tran
We study a class of linear parabolic equations in divergence form with degenerate coefficients on the upper half space. Specifically, the equations are considered in $(-\infty, T)…