By Errico Presutti
Collective habit in platforms with many parts, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic structures, a topic which has consistently intrigued scientists and philosophers. glossy applied sciences have made the query extra genuine and urban with contemporary, notable progresses additionally from a mathematical perspective. The booklet makes a speciality of the hyperlinks connecting statistical and continuum mechanics and, ranging from common introductions to either theories, it results in genuine examine issues. Mathematical concepts and techniques from chance, calculus of adaptations and PDE are mentioned at length.
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Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics (Theoretical and Mathematical Physics) by Errico Presutti