TY - BOOK ID - 107478136 TI - Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics AU - Presutti, Errico AU - SpringerLink (Online service) PY - 2009 SN - 9783540733058 PB - Berlin Heidelberg Springer Berlin Heidelberg DB - UniCat KW - Ergodic theory. Information theory KW - Mathematical physics KW - wiskunde KW - fysica KW - informatietheorie UR - https://www.unicat.be/uniCat?func=search&query=sysid:107478136 AB - 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. ER -