ENGLISH

Geometric Flows on Planar Lattices (Pathways in Mathematics)

By Andrea Braides , Margherita Solci

Book information

Publisher
Birkhäuser
Year
2021
ISBN
3030699161, 9783030699161
Language
english
Format
PDF
Filesize
3 MB (3244048 bytes)
Pages
144\138
Time added
2024-04-06 21:28:33

Description

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.

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