This book is the offspring of a summer school school “Macroscopic and large scale
phenomena: coarse graining, mean field limits and ergodicity”, 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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is the offspring of a summer school school 'Macroscopic andlarge scalephenomena: 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 concept of evolutionary$Gamma$-convergence. Numerous evocative examples are given, e.g., relating toperiodic homogenization and the passage from viscous to dry friction.Martin Göll and EvgenyVerbitskiy conclude this volume, taking a dynamical systems and ergodic theoryviewpoint. They review recent developments in the study of homoclinic pointsfor certain discrete dynamical systems, relating to particle systems viaergodic properties of lattices configurations. 312 pp. Englisch. N° de réf. du vendeur 9783319268828
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Taschenbuch. Etat : Neu. Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity | Adrian Muntean (u. a.) | Taschenbuch | Lecture Notes in Applied Mathematics and Mechanics | xiii | Englisch | 2016 | Springer | EAN 9783319268828 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 104150617
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is the offspring of a summer school school 'Macroscopic andlarge scalephenomena: 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 concept of evolutionary$Gamma$-convergence. Numerous evocative examples are given, e.g., relating toperiodic homogenization and the passage from viscous to dry friction.Martin Göll and EvgenyVerbitskiy conclude this volume, taking a dynamical systems and ergodic theoryviewpoint. They review recent developments in the study of homoclinic pointsfor certain discrete dynamical systems, relating to particle systems viaergodic properties of lattices configurations. N° de réf. du vendeur 9783319268828
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Taschenbuch. Etat : Neu. Neuware -This book is the offspring of a summer school school ¿Macroscopic andlarge scalephenomena: 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 examplesincluding 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 concept of evolutionary$Gamma$-convergence. Numerous evocative examples are given, e.g., relating toperiodic homogenization and the passage from viscous to dry friction.Martin Göll and EvgenyVerbitskiy conclude this volume, taking a dynamical systems and ergodic theoryviewpoint. They review recent developments in the study of homoclinic pointsfor certain discrete dynamical systems, relating to particle systems viaergodic properties of lattices configurations.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 312 pp. Englisch. N° de réf. du vendeur 9783319268828
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Etat : Sehr gut. Zustand: Sehr gut | Seiten: 312 | Sprache: Englisch | Produktart: Bücher | This book is the offspring of a summer school school ¿Macroscopic andlarge scalephenomena: 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 concept of evolutionary$\Gamma$-convergence. Numerous evocative examples are given, e.g., relating toperiodic homogenization and the passage from viscous to dry friction.Martin Göll and EvgenyVerbitskiy conclude this volume, taking a dynamical systems and ergodic theoryviewpoint. They review recent developments in the study of homoclinic pointsfor certain discrete dynamical systems, relating to particle systems viaergodic properties of lattices configurations. N° de réf. du vendeur 26254230/12
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