{"product_id":"9783319268828","title":"Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity","description":"\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\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2016\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer International Publishing\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: P\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 4745\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Adrian Muntean","offers":[{"title":"Default Title","offer_id":41244148334770,"sku":"9783319268828","price":160.36,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/3319268821.01_SCLZZZZZZZ.jpg?v=1635562985","url":"https:\/\/readabook.store\/products\/9783319268828","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}