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Titlebook: Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity; Adrian Muntean,Jens Rademacher,Antonios Zagaris

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书目名称Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity
编辑Adrian Muntean,Jens Rademacher,Antonios Zagaris
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概述research on Macroscopic and Large.Scale Phenomena such as Coarse.Graining, Mean Field Limits and Ergodicity.Offspring of the summer school “Macroscopic and large scale phenomena: coarse graining, mean
丛书名称Lecture Notes in Applied Mathematics and Mechanics
图书封面Titlebook: Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity;  Adrian Muntean,Jens Rademacher,Antonios Zagaris
描述.This book is the offspring of a summer school school “Macroscopic andlarge scale..phenomena: 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 con
出版日期Book 2016
关键词Macroscopic and Large Scale Phenomena; Coarse Graining; Mean Field Limits; Ergodicity; Particle Systems;
版次1
doihttps://doi.org/10.1007/978-3-319-26883-5
isbn_softcover978-3-319-26882-8
isbn_ebook978-3-319-26883-5Series ISSN 2197-6724 Series E-ISSN 2197-6732
issn_series 2197-6724
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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发表于 2025-3-21 22:29:49 | 显示全部楼层
François Golser for promotion is generous about Burns, with entries such as ‘Never tryed, a poet’ giving way to ‘Turns out well’, and then to ‘The poet does pretty well’. This amiable attitude was not reciprocated by Burns, who considered the job ‘an incessant drudgery, and… nearly a complete bar to every species
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On the Dynamics of Large Particle Systems in the Mean Field Limit,, the vorticity formulation of the two-dimensional Euler equation for incompressible fluids, or the time-dependent Hartree equation in quantum mechanics—can be rigorously derived from the fundamental microscopic equations that govern the evolution of large, interacting particle systems. The emphasis
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Continuum Limits of Discrete Models via ,-Convergence,ms, defects in metals, crowds—one has to face the challenging problem of deriving a macroscopic model to describe the . behaviour of the interacting particles. .-convergence is a mathematically rigorous approach to the upscaling, and has been successfully applied to several problems in material scie
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On Evolutionary ,-Convergence for Gradient Systems,dient system is defined in terms of two functionals, namely the energy functional . and the dissipation potential . or the associated dissipation distance. We assume that the functionals depend on a small parameter and that the associated gradient systems have solutions .. We investigate the questio
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