Mathematics – Analysis of PDEs
Scientific paper
2004-05-20
Mathematics
Analysis of PDEs
Scientific paper
We consider a simple model describing premixed combustion in the presence of fluid flow: reaction diffusion equation with passive advection and ignition type nonlinearity. Strong advection can suppress flames - a process we call quenching. A flow is called quenching if any compactly supported initial data will become extinct provided that the amplitude of the flow is chosen sufficiently large. In this paper, we provide a sharp characterization of quenching shear flows.The efficiency of quenching depends strongly on the geometry and scaling of the flow. We discuss the cases of slowly and quickly varying flows, proving analytically behavior that has been observed earlier in numerical experiments. The technique involves probabilistic and PDE estimates, in particular applications of Malliavin calculus and central limit theorem for martingales.
Kiselev Alexander
Zlatos Andrej
No associations
LandOfFree
Quenching of combustion by shear flows does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quenching of combustion by shear flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quenching of combustion by shear flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-552234