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Matched Asymptotic Expansions in Reaction-Diffusion Theory

Leach, J.a , Needham, D.j.



Matched Asymptotic Expansions in Reaction-Diffusion Theory

Tác giả: Leach, J.a , Needham, D.j.
Loại tài liệu: Sách, chuyên khảo, tuyển tập
Ký hiệu: Lv4634
Mã giá: 35LE
Nội dung tóm tắt: Xem chi tiết
This volume contains a wealth of results and methodologies applicable to a wide range of problems arising in reaction-diffusion theory. The first part is concerned with obtaining the complete structure of the large-time solution of scalar reaction diffusion equations, and systems of reaction-diffusion equations. The second part is concerned with the analysis of a class of singular reaction-diffusion equations. In this detailed analysis, use is made of the method of matched asymptotic expansions, dynamical systems theory, and comparison theorems, which provide a powerful combination of techniques for the detailed analysis of this broad class of reaction-diffusion equations. The monograph can be viewed both as a handbook, and as a detailed description of the methodology. Researchers in reaction-diffusion theory, and scientists applying reaction-diffusion theory to such areas as chemical kinetics, biological systems, epidemiology and population dynamics, will find it a popular addition to the literature.
Mục lục: Xem chi tiết
Part I. The Evolution of Travelling Waves in Scalar Fisher-Kolmogorov Equations 1. Introduction 2. Generalized Fisher Nonlinearity 3. mth-Order (m > 1) Fisher Nonlinearity: Initial Data with Exponential Decay Rates or Compact Support 4. mth-Order (m > 1) Fisher Nonlinearity: Initial Data with Algebraic Decay Rates 5. Extension to Systems of Fisher-Kolmogorov Equations Example: A Simple Model for an Ionic Autocatalytic System Part II. The Analysis of a Class of Singular Scalar Reaction-Diffusion Equations 6. Introduction 7. Permanent Form Travelling Waves (PTWs) 8. The Initial-Boundary Value Problem 9. Asymptotic Solution of IBVP as ; o ; for ; leq xleq inft ; Initial Data with Exponential or Algebraic Decay Rates 10. Extension to the System of Singular Reaction-Diffusion Equations A. Construction of a Global Nonnegative Solution to the Scalar Equation ; mega_t = omega_ xx + mu^star omega^n B. Asymptotic Solutions to the Eigenvalue Problem as ; o ; and ; o 1^- ; C. Analysis of Boundary Value Problem D. Analysis of Boundary Value Problem

Thông tin chi tiết

    Dạng tài liệu:Bản in
    Chỉ số ISBN:1-85233-767-2
    Ngôn ngữ:eng
    Mã giá:35LE
    Mã MSC:Đang cập nhật ...
    Tác giả:Leach, J.a, Needham, D.j
    Nhan đề:Matched Asymptotic Expansions in Reaction-Diffusion Theory
    Xuất bản, phát hành:H : London,... , 2004
    Số trang:290;
    Kích thước:24 cm
    Từ Khóa:Reaction Diffusion

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