48 citations · 347 across the 57 of their papers we have counts for
4 papers · 2 filters
Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension
S. N. Armstrong, H. V. Tran, Y. Yu
We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising…
Selection problems for a discounted degenerate viscous Hamilton--Jacobi equation
Hiroyoshi Mitake, Hung V. Tran
We prove that the solution of the discounted approximation of a degenerate viscous Hamilton--Jacobi equation with convex Hamiltonians converges to that of the associated ergodic pr…
Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity
W. Jing, P. E. Souganidis, H. V. Tran
We study the averaging of fronts moving with positive oscillatory normal velocity, which is periodic in space and stationary ergodic in time. The problem can be reformulated as the…
Weakly coupled systems of the infinity Laplace equations
Hiroyoshi Mitake, Hung Vinh Tran
We derive the weakly coupled systems of the infinity Laplace equations via a tug-of-war game introduced by Peres, Schramm, Sheffield, and Wilson (2009). We establish existence, uni…