Sinossi
A systematic presentation of discrete-to-continuum results and methods, offering new perspectives on intrinsically discrete problems.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sugli autori
Roberto Alicandro is Full Professor at the University of Naples. He works in the calculus of variations and homogenization. His results have applications in different fields, including atomistic-to-continuum limits for nonlinear models in materials science, topological singularities and defects in materials. He co-authored the monograph 'A Variational Theory of Convolution-type Functionals' (2022).
Andrea Braides is Full Professor at SISSA (International School for Advanced Studies), Trieste. He was an Invited Speaker at the 2014 International Congress of Mathematicians and received the Levi-Civita prize in 2015. He is the author of five books including 'Gamma-convergence for Beginners' (2002 ), 'Local Minimization, Variational Evolution and Gamma-convergence' (2014) and 'Geometric Flows on Planar Lattices' (2021).
Marco Cicalese is Professor of Mathematical Continuum Mechanics at the Technical University of Munich. He works in the calculus of variations and its applications to materials science.
Margherita Solci is Associate Professor at the University of Sassari, Italy. She works in the calculus of variations, especially in the passage discrete-to-continuum, on which she has co-authored the monograph 'Geometric Flows on Planar Lattices' (2021). She has directed several projects on mathematical modeling applied to cultural heritage, editing two volumes on this theme.
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Discrete Variational Problems With Interfaces
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Cambridge University Press, 2023
ISBN 10: 100929878X
ISBN 13: 9781009298780
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Discrete Variational Problems with Interfaces (Hardcover)
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Cambridge University Press, Cambridge, 2023
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Hardcover. Condizione: new. Hardcover. 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. This text presents a complete treatment of variational problems on discrete sets with an overall behavior driven by surface energies. Covering both applications and perspectives, it can be used as an advanced graduate course text, as well as a reference for mathematical analysts and applied mathematicians working in related fields. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781009298780
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Discrete Variational Problems with Interfaces (Cambridge Monographs on Applied and Computational Mathematics, Series Number 40)
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