Discrete Variational Problems with Interfaces

· · ·
· Cambridge Monographs on Applied and Computational Mathematics Libro 40 · Cambridge University Press
Libro electrónico
276
Páginas
Las calificaciones y opiniones no están verificadas. Más información

Acerca de este libro electrónico

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.

Acerca del autor

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.

Califica este libro electrónico

Cuéntanos lo que piensas.

Información de lectura

Smartphones y tablets
Instala la app de Google Play Libros para Android y iPad/iPhone. Como se sincroniza de manera automática con tu cuenta, te permite leer en línea o sin conexión en cualquier lugar.
Laptops y computadoras
Para escuchar audiolibros adquiridos en Google Play, usa el navegador web de tu computadora.
Lectores electrónicos y otros dispositivos
Para leer en dispositivos de tinta electrónica, como los lectores de libros electrónicos Kobo, deberás descargar un archivo y transferirlo a tu dispositivo. Sigue las instrucciones detalladas que aparecen en el Centro de ayuda para transferir los archivos a lectores de libros electrónicos compatibles.