This volume contains the Proceedings of the IUTAM Symposium held in Liverpool in 2002. It includes the articles presenting the results of recent work in mathematical modelling that covers the following areas of continuum mechanics and theoretical physics: -Perturbation problems for partial differential equations and their applications in mechanics; Analysis of singular fields; Homogenisation theory in models of composite structures; Mathematical models of cracks in solids; Wave propagation, scattering; Models of photonic and phononic band gap composite structures; Advanced numerical techniques.
Author(s): A.B. Movchan
Edition: 1
Year: 2004
Language: English
Pages: 634
Preliminaries......Page 1
TABLE OF CONTENTS......Page 6
PREFACE......Page 12
CHAPTER 1: Wave Propagation and Scattering......Page 14
CHAPTER 2: Asymptotics for Eigenvalue Problems......Page 136
CHAPTER 3: Green’s Functions and Defect Modes......Page 190
CHAPTER 4: Mathematical Models of Cracks......Page 210
CHAPTER 5: Models of Damage in Solids......Page 282
CHAPTER 6: Homogenisation Analysis and Models of Composite Med......Page 340
CHAPTER 7: Models Associated with Elastic Plates, Shells, Rods and Thin-walled Composite Structures......Page 416
CHAPTER 8: Asymptotics of Fields near Non-smooth Boundaries......Page 476
CHAPTER 9: Mathematical Models of Gas and Fluid Flows......Page 498
CHAPTER 10: Non-linear Waves......Page 534
CHAPTER 11: Combustion Models......Page 558
CHAPTER 12: Asymptotic Approximations for Orbital Perturbations......Page 580
CHAPTER 13: Advanced Numerical Techniques......Page 594
APPENDIX: IUTAM Symposium Programme......Page 626
Index......Page 634
