{"product_id":"9783319268828","title":"Lecture Notes in Applied Mathematics and Mechanics","description":"\u003ch1\u003eLecture Notes in Applied Mathematics and Mechanics\u003c\/h1\u003e \u003ch2\u003eMuntean, Adrian; Rademacher, Jens D. M.; Zagaris, Antonios\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book is the offspring of a summer school school “Macroscopic and\nlarge scale\u003c\/p\u003e\n\n\u003cp\u003ephenomena: coarse graining, mean field limits and ergodicity”, which was\nheld in 2012 at the University of Twente, the Netherlands. The focus lies on\nmathematically rigorous methods for multiscale problems of physical origins.\u003c\/p\u003e\n\n\u003cp\u003eEach of the four book chapters is based on a set of lectures delivered\nat the school, yet all authors have expanded and refined their contributions. \u003c\/p\u003e\n\n\u003cp\u003eFrancois Golse\ndelivers a chapter on the dynamics of large particle systems in the mean field\nlimit and surveys the most significant tools and methods to establish such\nlimits with mathematical rigor. Golse discusses in depth a variety of examples,\nincluding Vlasov--Poisson and Vlasov--Maxwell systems. \u003c\/p\u003e\n\n\u003cp\u003eLucia Scardia focuses\non the rigorous derivation of macroscopic models using $\\Gamma$-convergence, a\nmore recent variational method, which has proved very powerful for problems in\nmaterial science. Scardia illustrates this by various basic examples and a more\nadvanced case study from dislocation theory.\u003c\/p\u003e\n\n\u003cp\u003eAlexander Mielke's\ncontribution focuses on the multiscale modeling and rigorous analysis of\ngeneralized gradient systems through the new concept of evolutionary\n$\\Gamma$-convergence. Numerous evocative examples are given, e.g., relating to\nperiodic homogenization and the passage from viscous to dry friction.\u003c\/p\u003e\n\n\u003cp\u003eMartin Göll and Evgeny\nVerbitskiy conclude this volume, taking a dynamical systems and ergodic theory\nviewpoint. They review recent developments in the study of homoclinic points\nfor certain discrete dynamical systems, relating to particle systems via\nergodic properties of lattices configurations.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-02-04\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319268828\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-26883-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 295\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":47407574384780,"sku":"9783319268828","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319268828.jpg?v=1775830644","url":"https:\/\/lateknightbooks.com\/products\/9783319268828","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}