511 citations · 1.7k across the 69 of their papers we have counts for
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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…
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…
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…