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math.AP2016★ 8 cited
Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment
Wenjia Jing, Panagiotis E. Souganidis, Hung V. Tran
We study the qualitative homogenization of second order viscous Hamilton-Jacobi equations in space-time stationary ergodic random environments. Assuming that the Hamiltonian is con…
math.AP2016★ 4 cited
Inverse problems, non-roundness and flat pieces of the effective burning velocity from an inviscid quadratic Hamilton-Jacobi model
Wenjia Jing, Hung Vinh Tran, Yifeng Yu
The main goal of this paper is to understand finer properties of the effective burning velocity from a combustion model introduced by Majda and Souganidis [19]. Motivated by result…