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Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics

Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics

Paperback

Series: Theoretical and Mathematical Physics

General MathematicsPhysics

ISBN10: 3642092365
ISBN13: 9783642092367
Publisher: Springer
Published: Nov 16 2010
Pages: 470
Weight: 1.49
Height: 0.98 Width: 6.14 Depth: 9.21
Language: English

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.

Also from

Presutti, Errico

Also in

General Mathematics