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Entire solutions in monostable reaction–advection–diffusion equations in infinite cylinders

✍ Scribed by Wei-Jie Sheng; Nai-Wei Liu

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
245 KB
Volume
74
Category
Article
ISSN
0362-546X

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Enhancement of the traveling front speed
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✍ 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