9 citations · 22 across the 5 of their papers we have counts for
5 papers
Generalized ergodic problems: existence and uniqueness structures of solutions
Wenjia Jing, Hiroyoshi Mitake, Hung V. Tran
We study a generalized ergodic problem (E), which is a Hamilton-Jacobi equation of contact type, in the flat -dimensional torus. We first obtain existence of solutions to this p…
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…
Stochastic homogenization of interfaces moving with changing sign velocity
A. Ciomaga, P. E. Souganidis, H. V. Tran
We are interested in the averaged behavior of interfaces moving in stationary ergodic environments, with oscillatory normal velocity which changes sign. This problem can be reformu…