3 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Non-Planar Fronts in Boussinesq Reactive Flows
H. Berestycki, P. Constantin, L. Ryzhik
We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar…
Stability of time reversed waves in changing media
Guillaume Bal, Lenya Ryzhik
We analyze the refocusing properties of time reversed waves that propagate in two different media during the forward and backward stages of a time-reversal experiment. We consider…
Fronts in reactive convection: bounds, stability and instability
Peter Constantin, Alexander Kiselev, Lenya Ryzhik
We consider front propagation in a reactive Boussinesq system in an infinite vertical strip. We establish nonlinear stability of planar fronts for narrow domains when the Rayleigh…