6 citations · 15 across the 7 of their papers we have counts for
5 papers · 1 filter
High Degeneracy of Effective Hamiltonian in Two Dimensions
Yifeng Yu
Consider the effective Hamiltonian associated with the mechanical Hamiltonian . We prove that for generic , is piecew…
Effective fronts of polytope shapes
Wenjia Jing, Hung Vinh Tran, Yifeng Yu
We study the periodic homogenization of first order front propagations. Based on PDE methods, we provide a simple proof that for , the class of centrally symmetric polyto…
A rigidity result for effective Hamiltonians with -mode periodic potentials
Hung V. Tran, Yifeng Yu
We continue studying an inverse problem in the theory of periodic homogenization of Hamilton-Jacobi equations proposed in [14]. Let be two given pote…
Analysis and Comparison of Large Time Front Speeds in Turbulent Combustion Models
Jack Xin, Yifeng Yu
Predicting turbulent flame speed (the large time front speed) is a fundamental problem in turbulent combustion theory. Several models have been proposed to study the turbulent flam…
Maximal and minimal solutions of an Aronsson equation: variational problems versus the game theory
Yifeng Yu
The Dirichlet problem $$ \begin{cases} Δ_{\infty}u-|Du|^2=0 \quad \text{on $Ω\subset \Rset ^n$} u|_{\partial Ω}=g \end{cases} $$ might have many solutions, where $Δ_{\infty}u=\sum_…