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math.AP2022
Existence of an effective burning velocity in cellular flow for curvature G-equation via game analysis
Hongwei Gao, Ziang Long, Jack Xin +1
G-equation is a popular level set model in turbulent combustion, and becomes an advective mean curvature type evolution equation when curvature of a moving flame in a fluid flow is…
math.AP2022
Differentiability of effective fronts in the continuous setting in two dimensions
Hung V. Tran, Yifeng Yu
We study the effective front associated with first-order front propagations in two dimensions () in the periodic setting with continuous coefficients. Our main result says tha…