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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…