Mathematical Aspects of Evolving Interfaces: Lectures Given at the C.I.M.-C.I.M.E. Joint Euro-Summer School Held in Madeira Funchal, Portugal, July 3-9, 2000

This book delves into the intricate mathematical theories surrounding evolving interfaces, focusing on their applications and significance within various scientific domains. It presents a collection of lectures from distinguished mathematicians who gathered for a summer school in the picturesque setting of Madeira, Portugal, fostering an enriching environment for collaborative learning and discovery.

Readers will encounter analytical and geometrical perspectives on interfaces that delineate free or moving boundaries, exploring their behavior and characteristics. The contributions from the authors illuminate the mathematical frameworks that underpin these interfaces, providing insights into their dynamic nature and relevance in real-world phenomena.

With a blend of theory and practical implications, this work serves as a valuable resource for researchers and practitioners interested in the mathematical modeling of evolving interfaces. It invites readers to appreciate the beauty and complexity of this field, opening pathways for future exploration and application in science and engineering.