511 citations · 1.7k across the 69 of their papers we have counts for
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nlin.CD2000★ 9 cited
An upper bound for the bulk burning rate for systems
Alexander Kiselev, Leonid Ryzhik
We consider a system of reaction-diffusion equations with passive advection term and Lewis number not equal to one. Such systems are used to describe chemical reactions in a flow i…
nlin.CD2000
Quenching of flames by fluid advection
Peter Constantin, Alexander Kiselev, Leonid Ryzhik
We consider a simple scalar reaction-advection-diffusion equation with ignition-type nonlinearity and discuss the following question: What kinds of velocity profiles are capable of…
math.AP2000★ 88 cited
Enhancement of the Traveling Front Speeds in Reaction-Diffusion Equations with Advection
Alexander Kiselev, Leonid Ryzhik
We establish rigorous lower bounds on the speed of traveling fronts and on the bulk burning rate in reaction-diffusion equation with passive advection. The non-linearity is assumed…