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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.AP2025
Does Yakhot's growth law for turbulent burning velocity hold?
Wenjia Jing, Jack Xin, Yifeng Yu
Using formal renormalization theory, Yakhot derived in ([32], 1988) an growth law of the turbulent flame speed with respect to large flow in…
math.AP2024
Lagrangian, Game Theoretic and PDE Methods for Averaging G-equations in Turbulent Combustion: Existence and Beyond
Jack Xin, Yifeng Yu, Paul Ronney
G-equations are popular level set Hamilton-Jacobi nonlinear partial differential equations (PDEs) of first or second order arising in turbulent combustion. Characterizing the effec…