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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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  020	##	$a1-85233-767-2
  024	1#	$a2013330 $dpre02043982
  041	##	$aeng
  084	##	$a35LE
  090	##	$cLv4634
  100	1#	$aLeach, J.a
  245	##	$aMatched Asymptotic Expansions in Reaction-Diffusion Theory
  246	##	$aSpringer Monographs in Mathematics
  260	##	$aH:$bLondon,...,$c2004
  300	##	$a290;$c24 cm
  505	0#	$aPart 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 $t o 0$ for $0leq xleq infty$ 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 $omega_t = omega_ xx + mu^star omega^n B. Asymptotic Solutions to the Eigenvalue Problem as $m o 0$ and $m o 1^-1$ C. Analysis of Boundary Value Problem D. Analysis of Boundary Value Problem
  520	##	$aThis 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.
  653	##	$aReaction Diffusion
  700	1#	$aNeedham, D.j.
  900	##	1
  911	##	ELIB
  912	##	Converted
  927	##	Sách, chuyên khảo, tuyển tập

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