CRM Proceedings & Lecture Notes 1998; 343 pp; softcover Volume: 13 ISBN10: 0821805053 ISBN13: 9780821805053 List Price: US$116 Member Price: US$92.80 Order Code: CRMP/13
 There is currently considerable mathematical interest and very real potential for applications in using geometry in the design, identification and control of technological processes. Geometry plays the role of a design variable in the shape optimization of mechanical parts. It also appears as a control variable in optimal swimming, shape control of aircraft wings or stabilization of membranes and plates by periodic variations of the boundary. As it is used as a design or control variable, it often undergoes "mutations" as in the microstructures of materials, crystal growth, image processing or the texture of objects which involve relaxations of classical geometry and geometrical entities. In other areas, such as free and moving boundary problems, the understanding of the underlying phenomena is very much related to the geometric properties of the fronts and the nature of the nonlinearities involved. This book brings together tools that have been developed in a priori distant areas of mathematics, mechanics and physics. It provides coverage of selected contemporary problems in the areas of optimal design, mathematical models in material sciences, hysteresis, superconductivity, phase transition, crystal growth, moving boundary problems, thin shells and some of the associated numerical issues. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students, researchers and applied mathematicians working in partial differential equations. Table of Contents  K. Coughlin  The transition to turbulence via turbulent bursts
 M. C. Delfour  Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells
 M. C. Delfour and J.P. Zolésio  Shape analysis via distance functions: Local theory
 I. Müller  Six lectures on shape memory
 J. Rubinstein  Six lectures on superconductivity
 H. M. Soner  Front propagation
 A. Visintin  Six talks on hysteresis
 M. J. Ward  Dynamic metastability and singular perturbations
 J.J. Xu  Dendrites, fingers, interfaces and free boundaries
