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nlin.CD2002
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…
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…