Geometric flows on planar lattices / Andrea Braides, Margherita Solci.
2021
QA641
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Details
Title
Geometric flows on planar lattices / Andrea Braides, Margherita Solci.
Author
Braides, Andrea, author.
ISBN
9783030699178 (electronic bk.)
303069917X (electronic bk.)
3030699161
9783030699161
303069917X (electronic bk.)
3030699161
9783030699161
Published
Cham, Switzerland : Birkhäuser, [2021]
Language
English
Description
1 online resource (x, 134 pages) : illustrations
Other Standard Identifiers
10.1007/978-3-030-69917-8 doi
Call Number
QA641
Dewey Decimal Classification
516.3/6
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 20, 2021).
Added Author
Solci, Margherita, author.
Series
Pathways in mathematics, 2367-3451
Available in Other Form
Print version: 9783030699161
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Table of Contents
Introduction: Motion on lattices
Variational evolution
Discrete-to-continuum limits of planar lattice energies
Evolution of planar lattices
Perspectives : evolutions with microstructure
[Gamma]-limits in general lattices
A non-trivial example with trivial minimizing movements.
Variational evolution
Discrete-to-continuum limits of planar lattice energies
Evolution of planar lattices
Perspectives : evolutions with microstructure
[Gamma]-limits in general lattices
A non-trivial example with trivial minimizing movements.