Titlebook: Matched Asymptotic Expansions in Reaction-Diffusion Theory; J. A. Leach,D. J. Needham Book 2004 Springer-Verlag London 2004 BVP.Boundary v

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J. A. Leach BSc, PhD,D. J. Needham BSc, PhDeau (Universite de Montreal), Robert Nadeau (Universite du Quebec it Montreal), and William Shea (McGill University). Both committees are indebted to Dr. G. R. Paterson, then President of the Canadian Society for History and Philosophy of Science, who shared his expertise in many ways. Dr. French an

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Matched Asymptotic Expansions in Reaction-Diffusion Theory

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th-Order (, > 1) Fisher Nonlinearity: Initial Data with Exponential Decay Rates or Compact Support > 1, and u.(.) is a continuous, non-negativeand monotone decreasing function in . ≥ 0, with u.(.) → as . → ∞. Inparticular, we consider the following classes of initial data:(i) u.(.) is positive, analytic and has exponential decay rate as . → ∞, with.for some f(.) > O(.) as . → ∞, where u., σ, .an

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Extension to Systems of Fisher-Kolmogorov Equations. Example: A Simple Model for an Ionic Autocataly the Fisher-Kolmogorov tpye by considering a system of Fisher-Kolmogorov equations. This system arises as a simple model for an isothermal, autocatalytic, chemical reaction scheme. The scheme is based on the autocatalytic step ..Here a and b are the concentrations of the reactant , A, and th e autoc

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Introductiontalytic chemical reaction with termination. The scheme is represented formally by the two steps, .where a and b are the concentrations of the reactant A and th e autocatalyst B respectively, k. > 0 is th e rat e constant of autocatalysis, k. > 0 is the rate constant at which th e auto catalyst B dec

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