Discrete variational problems with interfaces:
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...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2024
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
40 |
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 17 Jan 2024) |
| Beschreibung: | x, 264 Seiten Diagramme |
| ISBN: | 9781009298780 |
Internformat
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| 520 | |a 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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Datensatz im Suchindex
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| author | Alicandro, Roberto Braides, Andrea 1961- Cicalese, Marco Solci, Margherita |
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| author_facet | Alicandro, Roberto Braides, Andrea 1961- Cicalese, Marco Solci, Margherita |
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| author_sort | Alicandro, Roberto |
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| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.38 |
| dewey-search | 621.38 |
| dewey-sort | 3621.38 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV049896506 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-31T09:01:43Z |
| institution | BVB |
| isbn | 9781009298780 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035235545 |
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| physical | x, 264 Seiten Diagramme |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge monographs on applied and computational mathematics |
| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Alicandro, Roberto Verfasser aut Discrete variational problems with interfaces Roberto Alicandro, Andrea Braides, Marco Cicalese, Margherita Solci Cambridge Cambridge University Press 2024 x, 264 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on applied and computational mathematics 40 Title from publisher's bibliographic system (viewed on 17 Jan 2024) 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 Discrete-time systems System analysis Homogenisierung Mathematik (DE-588)4403079-4 gnd rswk-swf Diskretes System (DE-588)4401225-1 gnd rswk-swf Gitterenergie (DE-588)4248911-8 gnd rswk-swf Variationsproblem (DE-588)4187419-5 gnd rswk-swf Variationsproblem (DE-588)4187419-5 s Homogenisierung Mathematik (DE-588)4403079-4 s Gitterenergie (DE-588)4248911-8 s Diskretes System (DE-588)4401225-1 s DE-604 Braides, Andrea 1961- Verfasser (DE-588)120341735 aut Cicalese, Marco Verfasser aut Solci, Margherita Verfasser (DE-588)1234928019 aut Erscheint auch als Online-Ausgabe 978-1-009-29876-6 Cambridge monographs on applied and computational mathematics 40 (DE-604)BV011073737 40 |
| spellingShingle | Alicandro, Roberto Braides, Andrea 1961- Cicalese, Marco Solci, Margherita Discrete variational problems with interfaces Discrete-time systems System analysis Homogenisierung Mathematik (DE-588)4403079-4 gnd Diskretes System (DE-588)4401225-1 gnd Gitterenergie (DE-588)4248911-8 gnd Variationsproblem (DE-588)4187419-5 gnd Cambridge monographs on applied and computational mathematics |
| subject_GND | (DE-588)4403079-4 (DE-588)4401225-1 (DE-588)4248911-8 (DE-588)4187419-5 |
| title | Discrete variational problems with interfaces |
| title_auth | Discrete variational problems with interfaces |
| title_exact_search | Discrete variational problems with interfaces |
| title_full | Discrete variational problems with interfaces Roberto Alicandro, Andrea Braides, Marco Cicalese, Margherita Solci |
| title_fullStr | Discrete variational problems with interfaces Roberto Alicandro, Andrea Braides, Marco Cicalese, Margherita Solci |
| title_full_unstemmed | Discrete variational problems with interfaces Roberto Alicandro, Andrea Braides, Marco Cicalese, Margherita Solci |
| title_short | Discrete variational problems with interfaces |
| title_sort | discrete variational problems with interfaces |
| topic | Discrete-time systems System analysis Homogenisierung Mathematik (DE-588)4403079-4 gnd Diskretes System (DE-588)4401225-1 gnd Gitterenergie (DE-588)4248911-8 gnd Variationsproblem (DE-588)4187419-5 gnd |
| topic_facet | Discrete-time systems System analysis Homogenisierung Mathematik Diskretes System Gitterenergie Variationsproblem |
| volume_link | (DE-604)BV011073737 |
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