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020			_a9783319268835
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050		4	_aQC174.8 _bM337 2016
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245	1	0	_aMacroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity _cedited by Adrian Muntean, Jens Rademacher, Antonios Zagaris
250			_a1st ed.
260			_aCham _bSpringer International Publishing _c2016
300			_a1 recurso en línea (XIII, 295 páginas) _b15 ilustraciones, 13 ilustraciones en color
336			_aTexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
490	0		_aLecture Notes in Applied Mathematics and Mechanics _x2197-6724 _v3
505	0		_aIntroduction -- Continuum Limits of Discrete Models via G -Convergence -- On Evolutionary G -convergence for Gradient Systems -- Homoclinic Points of Principal Algebraic Actions.
520	3		_aThis book is the offspring of a summer school school zMacroscopic and large scale phenomena: coarse graining, mean field limits and ergodicityy, which was held in 2012 at the University of Twente, the Netherlands. The focus lies on mathematically rigorous methods for multiscale problems of physical origins. Each of the four book chapters is based on a set of lectures delivered at the school, yet all authors have expanded and refined their contributions. Francois Golse delivers a chapter on the dynamics of large particle systems in the mean field limit and surveys the most significant tools and methods to establish such limits with mathematical rigor. Golse discusses in depth a variety of examples, including Vlasov--Poisson and Vlasov--Maxwell systems. Lucia Scardia focuses on the rigorous derivation of macroscopic models using $\Gamma$-convergence, a more recent variational method, which has proved very powerful for problems in material science. Scardia illustrates this by various basic examples and a more advanced case study from dislocation theory. Alexander Mielke's contribution focuses on the multiscale modeling and rigorous analysis of generalized gradient systems through the new concept of evolutionary $\Gamma$-convergence. Numerous evocative examples are given, e.g., relating to periodic homogenization and the passage from viscous to dry friction. Martin Göll and Evgeny Verbitskiy conclude this volume, taking a dynamical systems and ergodic theory viewpoint. They review recent developments in the study of homoclinic points for certain discrete dynamical systems, relating to particle systems via ergodic properties of lattices configurations.
650		7	_aDinámica _0comprobar BNE19900965831 _2embne _9138903
700	1		_aMuntean, Adrian. _eeditor literario _998073 _0Local
700	1		_aRademacher, Jens. _eeditor literario _998074 _0Local
700	1		_aZagaris, Antonios _eeditor literario _0Local _998075
710	2		_aSpringerLink (Online service) _0Local _9106996
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://link.springer.com/book/10.1007/978-3-319-26883-5 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
901			_ai9783319268835
907			_a.b1294533x _b10-10-17 _c21-11-16
942			_2lcc _cLE
945			_aQC174.8 M337 2016 EB _g1 _ieBOOK _j0 _lmae _o- _pEUR0.00 _q- _r- _sb _t15 _u0 _v0 _w0 _x0 _y.i11589231 _z06-04-17
988			_aEBOOK, asignarmaterias , EBSPRINGER
998			_am _a_alco _a_vill _b - - _cm _dz _e- _feng _ggw _h0