8 citations · 12 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Sharp Transition Between Extinction and Propagation of Reaction
Andrej Zlatos
We consider the reaction-diffusion equation \[ T_t = T_{xx} + f(T) \] on with and . In 1964 Kanel' proved that if is an ignit…
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…