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Generalized fronts in reaction–diffusion equations with mono-stable nonlinearity

✍ Scribed by Yaqin Shu; Wan-Tong Li; Nai-Wei Liu


Book ID
108216654
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
248 KB
Volume
74
Category
Article
ISSN
0362-546X

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Enhancement of the traveling front speed
✍ 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