3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2005★ 3 cited
Diffusion and Mixing in Fluid Flow
P. Constantin, A. Kiselev, L. Ryzhik +1
We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the…
math-ph2005
The stochastic acceleration problem in two dimensions
T. Komorowski, L. Ryzhik
We consider the motion of a particle in a two-dimensional spatially homogeneous mixing potential and show that its momentum converges to the Brownian motion on a circle. This compl…
math.AP2005★ 1 cited
Quenching of Reaction by Cellular Flows
A. Fannjiang, A. Kiselev, L. Ryzhik
We consider a reaction-diffusion equation in a cellular flow. We prove that in the strong flow regime there are two possible scenario for the initial data that is compactly support…