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, PhDInternational Union of History and Philosophy of Science. The conference was held under the auspices of the Union, The Social Sciences and Humanities Research Council of Canada, and the Canadian Society for History and Philosophy of Science. The meetings took place in Montreal, Canada, 25-29 August

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J. A. Leach,D. J. NeedhamPresents completely new methodologies, based on matched asymptotic expansions.Can be used both as a handbook and as a detailed description of the methodologies.Includes supplementary material:

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th-Order (, > 1) Fisher Nonlinearity: Initial Data with Algebraic Decay Ratesis analytic, positive and monotone decreasing function in . ≥ 0, with albebraic decay (up to exponential corrections) of degree . as . → ∞ where . for some ., where .., .. > 0 and ..are contants, and EST(.) denotes exponentially small terms in . as . → ∞.

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Permanent Form Travelling Waves (PTWs)An important first stage in the study of the initial value problem (6.16)–(6.20) is an investigation of the permanent form travelling wave (PTW) solutions of equation (6.16) which may be generated from the initial value problem (6.16)–(6.20). We study these in this chapter, and to this end we make the following definition.