Title: Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics (Theoretical and Mathematical Physics)
Publisher: Springer
Publication Date: 2008
Language: English
ISBN 10: 3540733043
ISBN 13: 9783540733041
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

About the Author

Errico Presutti is professor of classical mechanics at the Department of Mathematics of the University of Roma Tor Vergata.

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