Discrete Variational Problems with Interfaces / Roberto Alicandro [and three others].

Format:

Book

Author/Creator:

Alicandro, Roberto, author.

Series:

Cambridge monographs on applied and computational mathematics ; Series Number 40.

Cambridge Monographs on Applied and Computational Mathematics Series ; Series Number 40

Language:

English

Subjects (All):

Calculus of variations.

Physical Description:

1 online resource (x, 264 pages) : digital, PDF file(s).

Edition:

First edition.

Place of Publication:

Cambridge, England : Cambridge University Press, [2024]

Summary:

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

Notes:

Title from publisher's bibliographic system (viewed on 17 Jan 2024).

Description based on print version record.

Includes bibliographical references and index.

ISBN:

9781009298766

1009298763

9781009298803

1009298801