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20202022
most citedErgodicity and invariant measures for a diffusing passive scalar advected by a random channel shear flow and the connection between the Kraichnan-Majda model and Taylor-Aris Dispersion

1 citations · 2 across the 3 of their papers we have counts for

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math.AP2022

Correlation function of a random scalar field evolving with a rapidly fluctuating Gaussian process

Jared C. Bronski, Lingyun Ding, Richard M. McLaughlin

We consider a scalar field governed by an advection-diffusion equation (or a more general evolution equation) with rapidly fluctuating, Gaussian distributed random coefficients. In…

math.AP2020★ 1 cited

Ergodicity and invariant measures for a diffusing passive scalar advected by a random channel shear flow and the connection between the Kraichnan-Majda model and Taylor-Aris Dispersion

Lingyun Ding, Richard M. McLaughlin

We study the long time behavior of an advection-diffusion equation with a random shear flow which depends on a stationary Ornstein-Uhlenbeck (OU) process in parallel-plate channels…