Geometric Flows on Planar Lattices (Pathways in Mathematics) - 9783030699192

This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way. At the same time, the analysis introduces open issues of a general and fundamental nature, at the core of important applications. The focus on two-dimensional lattices as a prototype of heterogeneous media allows visual descriptions of concepts and methods through a large amount of illustrations.

• | Author: Andrea Braides, Margherita Solci
• | Publisher: Birkhäuser
• | Publication Date: Apr 07, 2022
• | Number of Pages: 144 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 3030699196
• | ISBN-13: 9783030699192