Geometric Flows on Planar Lattices

Andrea Braides, Margherita Solci (Autoren)

Buch | Softcover

X, 134 Seiten

2022 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-69919-2 (ISBN)

Artikel merken

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.

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.

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

"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)

“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)

Erscheinungsdatum	26.03.2022
Reihe/Serie	Pathways in Mathematics
Zusatzinfo	X, 134 p. 63 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	231 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Discrete-to-continuum limits for lattice energies • Evolution of microstructure • geometric motions • Gradient flows • Heterogeneous Media • homogenization • Interfacial energies • Motion by crystalline curvature • sets of finite perimeter • Variational Evolution
ISBN-10	3-030-69919-6 / 3030699196
ISBN-13	978-3-030-69919-2 / 9783030699192
Zustand	Neuware