96 citations · 197 across the 12 of their papers we have counts for
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math.PR2007★ 48 cited
From ballistic to diffusive behavior in periodic potentials
Martin Hairer, Grigorios Pavliotis
The long-time/large-scale, small-friction asymptotic for the one dimensional Langevin equation with a periodic potential is studied in this paper. It is shown that the Freidlin-Wen…
physics.flu-dyn2007★ 32 cited
Optimizing the Source Distribution in Fluid Mixing
Jean-Luc Thiffeault, G. A. Pavliotis
A passive scalar is advected by a velocity field, with a nonuniform spatial source that maintains concentration inhomogeneities. For example, the scalar could be temperature with a…
math-ph2007
Homogenization for Inertial Particles in a Random Flow
G. A. Pavliotis, A. M. Stuart, K. C. Zygalakis
We study the problem of homogenization for inertial particles moving in a time dependent random velocity field and subject to molecular diffusion. We show that, under appropriate a…