10 citations · 18 across the 6 of their papers we have counts for
7 papers
Quantitative homogenization of Hamilton--Jacobi equations on perforated domains with Dirichlet boundary conditions
Yuxi Han, Son Tu
We study the periodic homogenization of convex Hamilton-Jacobi equations on perforated domains with Dirichlet boundary conditions. By analyzing the optimal control representation o…
Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains
Son N. T. Tu, Jianlu Zhang
We study the asymptotic behavior of solutions to the fully nonlinear Hamilton-Jacobi equation in as . Under the assumption that the Aubr…
Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions
Russell Schwab, Son Tu, Olga Turanova
In this article, we apply the viscosity solutions theory for integro-differential equations to the \emph{one-phase} Muskat equation (also known as the Hele-Shaw problem with gravit…
On the regularity of stochastic effective Hamiltonian
Son Tu, Jianlu Zhang
In this paper, we study the regularity of the ergodic constants for the viscous Hamilton--Jacobi equations. We also estimate the convergent rate of the ergodic constant in the vani…
Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint
Son Tu, Jianlu Zhang
For a continuous Hamiltonian , we consider the asymptotic behavior of associated Hamilton--Jacobi equatio…
Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations
Yuxi Han, Son N. T. Tu
We investigate the convergence rate in the vanishing viscosity process of the solutions to the subquadratic state-constraint Hamilton-Jacobi equations. We give two different proofs…
State-constraint static Hamilton-Jacobi equations in nested domains
Yeoneung Kim, Hung V. Tran, Son N. T. Tu
We study state-constraint static Hamilton-Jacobi equations in a sequence of domains in such that for all $k\in \ma…