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.AP2025
Quantitative homogenization of convex Hamilton-Jacobi equations with -periodic Hamiltonians
Hiroyoshi Mitake, Panrui Ni, Hung V. Tran
Here, we study quantitative homogenization of first-order convex Hamilton-Jacobi equations with -periodic Hamiltonians which typically appear in dislocation dynami…