1 citations · 2 across the 3 of their papers we have counts for
3 papers
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…
physics.flu-dyn2021★ 1 cited
Determinism and invariant measures for diffusing passive scalars advected by unsteady random shear flows
Lingyun. Ding, Richard M. McLaughlin
Here we study the long time behavior of an advection-diffusion equation with a general time varying (including random) shear flow imposing no-flux boundary conditions on channel wa…
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…