Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Cham]
Springer
[2016]
|
| Schriftenreihe: | Lecture notes in applied mathematics and mechanics
volume 3 (2016) |
| Schlagworte: | |
| Online-Zugang: | BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Abstract Inhaltsverzeichnis |
| Beschreibung: | 1 Online Ressource (xiii, 295 Seiten) |
| ISBN: | 9783319268835 |
| DOI: | 10.1007/978-3-319-26883-5 |
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Datensatz im Suchindex
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| adam_text | MACROSCOPIC AND LARGE SCALE PHENOMENA: COARSE GRAINING, MEAN FIELD
LIMITS AND ERGODICITY
/
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK IS THE OFFSPRING OF A SUMMER SCHOOL SCHOOL “MACROSCOPIC AND
LARGE SCALE PHENOMENA: COARSE GRAINING, MEAN FIELD LIMITS AND
ERGODICITY”, WHICH WAS HELD IN 2012 AT THE UNIVERSITY OF TWENTE, THE
NETHERLANDS. THE FOCUS LIES ON MATHEMATICALLY RIGOROUS METHODS FOR
MULTISCALE PROBLEMS OF PHYSICAL ORIGINS. EACH OF THE FOUR BOOK CHAPTERS
IS BASED ON A SET OF LECTURES DELIVERED AT THE SCHOOL, YET ALL AUTHORS
HAVE EXPANDED AND REFINED THEIR CONTRIBUTIONS. FRANCOIS GOLSE DELIVERS A
CHAPTER ON THE DYNAMICS OF LARGE PARTICLE SYSTEMS IN THE MEAN FIELD
LIMIT AND SURVEYS THE MOST SIGNIFICANT TOOLS AND METHODS TO ESTABLISH
SUCH LIMITS WITH MATHEMATICAL RIGOR. GOLSE DISCUSSES IN DEPTH A VARIETY
OF EXAMPLES, INCLUDING VLASOV
POISSON AND VLASOV
MAXWELL SYSTEMS. LUCIA SCARDIA FOCUSES ON THE RIGOROUS DERIVATION OF
MACROSCOPIC MODELS USING $ GAMMA$-CONVERGENCE, A MORE RECENT VARIATIONAL
METHOD, WHICH HAS PROVED VERY POWERFUL FOR PROBLEMS IN MATERIAL SCIENCE.
SCARDIA ILLUSTRATES THIS BY VARIOUS BASIC EXAMPLES AND A MORE ADVANCED
CASE STUDY FROM DISLOCATION THEORY. ALEXANDER MIELKE S CONTRIBUTION
FOCUSES ON THE MULTISCALE MODELING AND RIGOROUS ANALYSIS OF GENERALIZED
GRADIENT SYSTEMS THROUGH THE NEW CONCEPT OF EVOLUTIONARY
$ GAMMA$-CONVERGENCE. NUMEROUS EVOCATIVE EXAMPLES ARE GIVEN, E.G.,
RELATING TO PERIODIC HOMOGENIZATION AND THE PASSAGE FROM VISCOUS TO DRY
FRICTION. MARTIN GOELL AND EVGENY VERBITSKIY CONCLUDE THIS VOLUME,
TAKING A DYNAMICAL SYSTEMS AND ERGODIC THEORY VIEWPOINT. THEY REVIEW
RECENT DEVELOPMENTS IN THE STUDY OF HOMOCLINIC POINTS FOR CERTAIN
DISCRETE DYNAMICAL SYSTEMS, RELATING TO PARTICLE SYSTEMS VIA ERGODIC
PROPERTIES OF LATTICES CONFIGURATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MACROSCOPIC AND LARGE SCALE PHENOMENA: COARSE GRAINING, MEAN FIELD
LIMITS AND ERGODICITY
/
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
CONTINUUM LIMITS OF DISCRETE MODELS VIA G -CONVERGENCE
ON EVOLUTIONARY G -CONVERGENCE FOR GRADIENT SYSTEMS
HOMOCLINIC POINTS OF PRINCIPAL ALGEBRAIC ACTIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| id | DE-604.BV043408004 |
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| indexdate | 2024-08-01T12:12:42Z |
| institution | BVB |
| isbn | 9783319268835 |
| language | English |
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| series | Lecture notes in applied mathematics and mechanics |
| series2 | Lecture notes in applied mathematics and mechanics |
| spellingShingle | Macroscopic and large scale phenomena coarse graining, mean field limits and ergodicity Lecture notes in applied mathematics and mechanics Engineering Dynamics Ergodic theory Applied mathematics Engineering mathematics Continuum mechanics Continuum Mechanics and Mechanics of Materials Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Dynamical Systems and Ergodic Theory Ingenieurwissenschaften |
| subject_GND | (DE-588)4143413-4 |
| title | Macroscopic and large scale phenomena coarse graining, mean field limits and ergodicity |
| title_auth | Macroscopic and large scale phenomena coarse graining, mean field limits and ergodicity |
| title_exact_search | Macroscopic and large scale phenomena coarse graining, mean field limits and ergodicity |
| title_full | Macroscopic and large scale phenomena coarse graining, mean field limits and ergodicity Adrian Muntean, Jens Rademacher, Antonios Zagaris editors |
| title_fullStr | Macroscopic and large scale phenomena coarse graining, mean field limits and ergodicity Adrian Muntean, Jens Rademacher, Antonios Zagaris editors |
| title_full_unstemmed | Macroscopic and large scale phenomena coarse graining, mean field limits and ergodicity Adrian Muntean, Jens Rademacher, Antonios Zagaris editors |
| title_short | Macroscopic and large scale phenomena |
| title_sort | macroscopic and large scale phenomena coarse graining mean field limits and ergodicity |
| title_sub | coarse graining, mean field limits and ergodicity |
| topic | Engineering Dynamics Ergodic theory Applied mathematics Engineering mathematics Continuum mechanics Continuum Mechanics and Mechanics of Materials Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Dynamical Systems and Ergodic Theory Ingenieurwissenschaften |
| topic_facet | Engineering Dynamics Ergodic theory Applied mathematics Engineering mathematics Continuum mechanics Continuum Mechanics and Mechanics of Materials Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Dynamical Systems and Ergodic Theory Ingenieurwissenschaften Aufsatzsammlung |
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