Cargando…
Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | Lecture Notes in Applied Mathematics and Mechanics,
3 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-26883-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220114105319.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160128s2016 sz | s |||| 0|eng d | ||
| 020 | |a 9783319268835 |9 978-3-319-26883-5 | ||
| 024 | 7 | |a 10.1007/978-3-319-26883-5 |2 doi | |
| 050 | 4 | |a TA349-359 | |
| 072 | 7 | |a TGMD |2 bicssc | |
| 072 | 7 | |a SCI096000 |2 bisacsh | |
| 072 | 7 | |a TGMD |2 thema | |
| 082 | 0 | 4 | |a 620.105 |2 23 |
| 245 | 1 | 0 | |a Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity |h [electronic resource] / |c edited by Adrian Muntean, Jens D. M. Rademacher, Antonios Zagaris. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2016. | |
| 300 | |a XIII, 295 p. 15 illus., 13 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Applied Mathematics and Mechanics, |x 2197-6732 ; |v 3 | |
| 505 | 0 | |a Introduction -- Continuum Limits of Discrete Models via G -Convergence -- On Evolutionary G -convergence for Gradient Systems -- Homoclinic Points of Principal Algebraic Actions. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 0 | |a Solids. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 1 | 4 | |a Solid Mechanics. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 700 | 1 | |a Muntean, Adrian. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Rademacher, Jens D. M. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Zagaris, Antonios. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319268828 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319268842 |
| 830 | 0 | |a Lecture Notes in Applied Mathematics and Mechanics, |x 2197-6732 ; |v 3 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-26883-5 |z Texto Completo |
| 912 | |a ZDB-2-ENG | ||
| 912 | |a ZDB-2-SXE | ||
| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||