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math.AP2022
Exponential mixing by shear flows
William Cooperman
We prove a version of Bressan's mixing conjecture where the advecting field is constrained to be a shear at each time. Also, inspired by recent work of Blumenthal, Coti Zelati and…
math.AP2022
On the random G equation with nonzero divergence
William Cooperman
We prove a quantitative rate of homogenization for the G equation in a random setting with finite range of dependence and nonzero divergence, with explicit dependence of the consta…