9 citations · 22 across the 5 of their papers we have counts for
6 papers · 1 filter
Discrete Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel
Jiwoong Jang, Hung V. Tran
Here, we study a discrete Coagulation-Fragmentation equation with a multiplicative coagulation kernel and a constant fragmentation kernel, which is critical. We apply the discrete…
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 ,…
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…