17 citations · 29 across the 6 of their papers we have counts for
5 papers · 1 filter
Enhancement of combustion by drift in a coupled reaction-diffusion model
Lam Raga A. Markely, David Andrzejewski, Erick Butzlaff +1
We study analytically and numerically a model describing front propagation of a KPP reaction in a fluid flow. The model consists of coupled one-dimensional reaction-diffusion equat…
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…
On Discrete Models of the Euler Equation
Alexander Kiselev, Andrej Zlatos
We consider two discrete models for the Euler equation describing incompressible fluid dynamics. These models are infinite coupled systems of ODEs for the functions which can…
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…
Quenching of combustion by shear flows
Alexander Kiselev, Andrej Zlatos
We consider a simple model describing premixed combustion in the presence of fluid flow: reaction diffusion equation with passive advection and ignition type nonlinearity. Strong a…