Geometric Flows on Planar Lattices

1. Auflage 2021
ISBN: 978-3-030-69916-1
Verlag: Springer International Publishing

Buch, Englisch, 134 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 389 g

Reihe: 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.

Zielgruppe

Research

Autoren/Hrsg.

Solci, Margherita

Braides, Andrea

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

- Introduction: Motion on Lattices. - Variational Evolution. - Discrete-to-Continuum Limits of Planar Lattice Energies. - Evolution of Planar Lattices. - Perspectives: Evolutions with Microstructure.

Über Autor(innen)

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.