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Moving fronts in integro-parabolic reaction-advection-diffusion equations

✍ Scribed by N. N. Nefedov; A. G. Nikitin; M. A. Petrova; L. Recke

Book ID
110159010
Publisher
Springer
Year
2011
Tongue
English
Weight
362 KB
Volume
47
Category
Article
ISSN
0012-2661

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Enhancement of the traveling front speed
Enhancement of the traveling front speeds in reaction-diffusion equations with advection
✍ Alexander Kiselev; Leonid Ryzhik πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 372 KB

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 to be of either KPP or ignition type. We consider two main classes of flows. Percolating flows, which are characterized