3 papers
math.AP2026
Turbulent Flame Speed Can Increase under Curvature Smoothing
Hung V. Tran, Jack Xin, Yifeng Yu
Curvature effects are expected to smooth flame-front wrinkles and thereby reduce turbulent flame speed. We construct a smooth three-dimensional periodic shear flow for which introd…
math.AP2026
Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations
Ziran Liu, Hung V. Tran, Yifeng Yu
We study the periodic homogenization of the viscous Hamilton--Jacobi equation \[ u_t^\varepsilon + \frac{1}{2}|Du^\varepsilon|^2 + V\!\left(\frac{x}{\varepsilon}\right) = \frac{\va…
math.AP2026
Geometry of the Minimal Level Set of the Effective Hamiltonian in Two Dimensions
Yifeng Yu
In this paper, we characterize the geometric structure of the boundary of the minimal level set of the effective Hamiltonian associated with the mechanical Ham…