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A Poincaré-Bendixson theorem for scalar reaction diffusion equations

✍ Scribed by Bernold Fiedler; John Mallet-Paret


Publisher
Springer
Year
1989
Tongue
English
Weight
1009 KB
Volume
107
Category
Article
ISSN
0003-9527

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✍ 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