Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity

Language: English

Published by Palgrave Macmillan, 2016

3319268821 / 9783319268828

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - This book is the offspring of a summer school school 'Macroscopic andlarge scalephenomena: coarse graining, mean field limits and ergodicity', which washeld in 2012 at the University of Twente, the Netherlands. The focus lies onmathematically rigorous methods for multiscale problems of physical origins.Each of the four book chapters is based on a set of lectures deliveredat the school, yet all authors have expanded and refined their contributions.Francois Golsedelivers a chapter on the dynamics of large particle systems in the mean fieldlimit and surveys the most significant tools and methods to establish suchlimits with mathematical rigor. Golse discusses in depth a variety of examples,including Vlasov--Poisson and Vlasov--Maxwell systems. Lucia Scardia focuseson the rigorous derivation of macroscopic models using $Gamma$-convergence, amore recent variational method, which has proved very powerful for problems inmaterial science. Scardia illustrates this by various basic examples and a moreadvanced case study from dislocation theory.Alexander Mielke'scontribution focuses on the multiscale modeling and rigorous analysis ofgeneralized gradient systems through the new concept of evolutionary$Gamma$-convergence. Numerous evocative examples are given, e.g., relating toperiodic homogenization and the passage from viscous to dry friction.Martin Göll and EvgenyVerbitskiy conclude this volume, taking a dynamical systems and ergodic theoryviewpoint. They review recent developments in the study of homoclinic pointsfor certain discrete dynamical systems, relating to particle systems viaergodic properties of lattices configurations.

Seller Inventory # 9783319268828

Title
Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity
Author
Adrian Muntean
Publisher
Palgrave Macmillan
Publication year
2016
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319268821
ISBN 13
9783319268828
Item weight
476 grams
Dimensions
235x155x17 mm

AHA-BUCH GmbH

Einbeck, Germany

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