10 citations · 35 across the 18 of their papers we have counts for
5 papers · 2 filters
Relaxation Enhancement by Time-Periodic Flows
Alexander Kiselev, Roman Shterenberg, Andrej Zlatos
We study enhancement of diffusive mixing by fast incompressible time-periodic flows. The class of relaxation-enhancing flows that are especially efficient in speeding up mixing has…
Pulsating Front Speed-up and Quenching of Reaction by Fast Advection
Andrej Zlatos
We consider reaction-diffusion equations with combustion-type non-linearities in two dimensions and study speed-up of their pulsating fronts by general periodic incompressible flow…
Sharp Asymptotics for KPP Pulsating Front Speed-up and Diffusion Enhancement by Flows
Andrej Zlatos
We study KPP pulsating front speed-up and effective diffusivity enhancement by general periodic incompressible flows. We prove the existence of and determine the limits …
KPP Pulsating Front Speed-up by Flows
Lenya Ryzhik, Andrej Zlatos
We obtain a criterion for pulsating front speed-up by general periodic incompressible flows in two dimensions and in the presence of KPP nonlinearities. We achieve this by showing…
Diffusion in Fluid Flow: Dissipation Enhancement by Flows in 2D
Andrej Zlatos
We consider the advection-diffusion equation \[ ϕ_t + Au \cdot \nabla ϕ= Δϕ, \qquad ϕ(0,x)=ϕ_0(x) \] on , with a periodic incompressible flow and its amplitude…