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Geometric flows on planar lattices / Andrea Braides, Margherita Solci.

9783030699178 (electronic bk.)
303069917X (electronic bk.)
3030699161
9783030699161

Cham, Switzerland : Birkhäuser, [2021]

English

1 online resource (x, 134 pages) : illustrations

10.1007/978-3-030-69917-8 doi

QA641

516.3/6

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed April 20, 2021).

Pathways in mathematics, 2367-3451

Print version: 9783030699161

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