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Entire solutions in reaction-advection-diffusion equations with bistable nonlinearities in heterogeneous media

✍ Scribed by NaiWei Liu; WanTong Li

Book ID
107348265
Publisher
SP Science China Press
Year
2010
Tongue
English
Weight
228 KB
Volume
53
Category
Article
ISSN
1674-7283

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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 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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