Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics

Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics
Author :
Publisher : Springer Science & Business Media
Total Pages : 478
Release :
ISBN-13 : 9783540733058
ISBN-10 : 3540733051
Rating : 4/5 (51 Downloads)

Book Synopsis Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics by : Errico Presutti

Download or read book Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics written by Errico Presutti and published by Springer Science & Business Media. This book was released on 2008-11-01 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers. Modern technologies have made the question more actual and concrete with recent, remarkable progresses also from a mathematical point of view. The book focuses on the links connecting statistical and continuum mechanics and, starting from elementary introductions to both theories, it leads to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length.


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