A Course in Homogenization-Based Techniques focuses on providing practical insights into select mathematical techniques for multiscale problems, with a close eye on real-world applications. Supported by examples and exercises chosen for their ability to serve as tools illustrating underlying theories — much like appetizers designed to spark further curiosity — this textbook explores the 'why' just as much as it explains the 'how' of multiscale modeling. It encourages readers to pose their ...

This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes. The focus of this presentation lies on many practical examples covering aspects such as coupled flow, diffusion and reaction in porous media or microwave heating of a pizza, as well as traffic issues in bacterial colonies and energy harves...

This book is the offspring of a summer school school “Macroscopic and large scalephenomena: coarse graining, mean field limits and ergodicity”, which was held in 2012 at the University of Twente, the Netherlands. The focus lies on mathematically rigorous methods for multiscale problems of physical origins.Each of the four book chapters is based on a set of lectures delivered at the school, yet all authors have expanded and refined their contributions.Francois Golse ...