Geometric Flows on Planar Lattices

Andrea Braides, Margherita Solci

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English

Springer Nature Switzerland AG
25 March 2022

Calculus & mathematical analysis; Differential & Riemannian geometry; Optimisation

Series: Pathways in Mathematics

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.

By: Andrea Braides, Margherita Solci
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2021 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 232g
ISBN: 9783030699192
ISBN 10: 3030699196
Series: Pathways in Mathematics
Pages: 134
Publication Date: 25 March 2022
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Andrea Braides is professor of Mathematical Analysis at the University of Rome Tor Vergata. He is the author among others of the books Gamma-convergence for Beginners and (with A.Defranceschi) Homogenization of Multiple Integrals. He was an invited speaker at the 2014 International Congress of Mathematicians in Seoul in the section Mathematics in Science and Technology.Margherita Solci is professor of Mathematical Analysis at the University of Sassari at Alghero. She works on various topics involving variational convergence; in particular, static and dynamic passages from discrete to continuum.

Reviews for Geometric Flows on Planar Lattices

The book fairly self-contained. Many illuminating examples are worked out in detail, and a large number of extensions are included. (John Urbas, zbMATH 1486.53002, 2022)