Margherita Solci's Books

Discrete Variational Problems with Interfaces

By: Roberto Alicandro,Andrea Braides,Marco Cicalese,Margherita Solci

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Discrete Variational Problems with Interfaces

By: Roberto Alicandro,Andrea Braides,Marco Cicalese,Margherita Solci

Many materials can be modeled either as discrete systems or as continua, depending on the scale. At intermediate scales it is necessary to understand the transition from discrete to continuous models and variational methods have proved successful in this task, especially for systems, both stochastic and deterministic, that depend on lattice energies. This is the first systematic and unified presentation of research in the area over the last 20 years. The authors begin with a very general and flexible compactness and representation result, complemented by a thorough exploration of problems for ferromagnetic energies with applications ranging from optimal design to quasicrystals and percolation. This leads to a treatment of frustrated systems, and infinite-dimensional systems with diffuse interfaces. Each topic is presented with examples, proofs and applications. Written by leading experts, it is suitable as a graduate course text as well as being an invaluable reference for researchers.

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Page Count

276

Publisher

Cambridge University Press

Published Date

ISBN 10

1009298801

ISBN 13

9781009298803

Geometric Flows on Planar Lattices

By: Andrea Braides,Margherita Solci

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Geometric Flows on Planar Lattices

By: Andrea Braides,Margherita Solci

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.

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Page Count

134

Publisher

Springer Nature

Published Date

ISBN 10

303069917X

ISBN 13

9783030699178

Discrete Variational Problems with Interfaces

By: Roberto Alicandro,Andrea Braides,Marco Cicalese,Margherita Solci

Write a review Read reviews Take a Quiz Solve Book Puzzle

Discrete Variational Problems with Interfaces

By: Roberto Alicandro,Andrea Braides,Marco Cicalese,Margherita Solci

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

276

Publisher

Cambridge University Press

Published Date

ISBN 10

1009298801

ISBN 13

9781009298803

Book's by Margherita Solci

Discrete Variational Problems with Interfaces

Discrete Variational Problems with Interfaces

Geometric Flows on Planar Lattices

Geometric Flows on Planar Lattices

Discrete Variational Problems with Interfaces

Discrete Variational Problems with Interfaces

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