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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…
math.AP1999★ 109 cited
Bulk Burning Rate in Passive - Reactive Diffusion
Peter Constantin, Alexander Kiselev, Adam Oberman +1
We consider a passive scalar that is advected by a prescribed mean zero divergence-free velocity field, diffuses, and reacts according to a KPP-type nonlinear reaction. We introduc…