书目名称 | Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity | 编辑 | Adrian Muntean,Jens Rademacher,Antonios Zagaris | 视频video | | 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 |  | 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 | doi | https://doi.org/10.1007/978-3-319-26883-5 | isbn_softcover | 978-3-319-26882-8 | isbn_ebook | 978-3-319-26883-5Series ISSN 2197-6724 Series E-ISSN 2197-6732 | issn_series | 2197-6724 | copyright | Springer International Publishing Switzerland 2016 |
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