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Rigorous Asymptotic Expansions for Critical Wave Speeds in a Family of Scalar Reaction-Diffusion Equations

✍ Scribed by Nikola Popović; Tasso J. Kaper


Publisher
Springer US
Year
2006
Tongue
English
Weight
457 KB
Volume
18
Category
Article
ISSN
1040-7294

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Critical wave speeds for a family of sca
✍ T.P. Witelski; K. Ono; T.J. Kaper 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 481 KB

We study the set of traveling waves in a class of reaction-diffusion equations for the family of potentials fro(U) = 2U m(1 -U). We use perturbation methods and matched asymptotics to derive expansions for the critical wave speed that separates algebraic and exponential traveling wave front solution