Holdings: Macroscopic and large scale phenomena

Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity

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Bibliographic Details
Other Authors:	Muntean, Adrian (Editor), Rademacher, Jens D. M. 1974- (Editor), Zagaris, Antonios 1976- (Editor)
Format:	Electronic eBook
Language:	English
Published:	[Cham] Springer [2016]
Series:	Lecture notes in applied mathematics and mechanics volume 3 (2016)
Subjects:	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
Online Access:	BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Abstract Inhaltsverzeichnis
Physical Description:	1 Online Ressource (xiii, 295 Seiten)
ISBN:	9783319268835
DOI:	10.1007/978-3-319-26883-5

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MARC


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Record in the Search Index

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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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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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