Differential Equations & Asymptotic Theory In Mathematical Physics: Wuhan University, Hubei, China 20 - 29 October 2003

by HUA, CHEN; Wong, Roderick

• ISBN13: 9789812560551
• ISBN10: 9812560556
• Format: Hardcover
• Copyright: 2004-10-28
• Publisher: World Scientific Pub Co Inc

Summary

This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures. Readers are brought up to date with exciting recent developments in the areas of asymptotic analysis, singular perturbations, orthogonal polynomials, and the application of Gevrey asymptotic expansion to holomorphic dynamical systems. The book also features important invited papers presented at the conference. Leading experts in the field cover a diverse range of topics from partial differential equations arising in cancer biology to transonic shock waves.

Table of Contents

Preface	v
Part I Mini-Courses
Lectures on Orthogonal Polynomials	1	(43)
Ismail, Mourad E. H.
Gevrey Asymptotics and Applications to Holomorphic Ordinary Differential Equations	44	(56)
Ramis, Jean-Pierre
Spikes for Singularly Perturbed Reaction-Diffusion Systems and Carrier's Problem	100	(89)
Ward, Michael J.
Five Lectures on Asymptotic Theory	189	(74)
Wong, Roderick S. C.
Part II Invited Papers
A Perturbation Model for the Growth of Type III-V Compound Crystals	263	(17)
Bohun, C. S.
Frigaard, I.
Huang, H. X.
Liang S. Q.
Asymptotic Behaviour of the Trace for Schrodinger Operator on Irregular Domains	280	(15)
Chen, H.
Yu, C.
Limitations and Modifications of Black-Scholes Model	295	(15)
Jiang, L. S.
Ren, X. M.
Exact Boundary Controllability of Unsteady Flows in a Network of Open Canals	310	(20)
Li, T.T. (Li, Daqian)
Hierarchy of Partial Differential Equations and Fundamental Solutions Associated with Summable Formal Solutions of a Partial Differential Equation of non Kowalevski Type	330	(13)
Miyake, M.
Ichinobe, K.
On the Singularities of Solutions of Nonlinear Partial Differential Equations in the Complex Domain, II	343	(12)
Tahara, H.
Identifying Corrosion Boundary by Perturbation Method	355	(10)
Tan, Y. J.
Chen, X. X.
Existence and Stability of Lamellar and Wriggled Lamellar Solutions in the Diblock Copolymer Problem	365
Wei, J. C.