6 Multiscale CHeSs: upscaling, effective properties, and macroscopic descriptions

Chapters in this book

1. Frontmatter I
2. Acknowledgment VII
3. Preface IX
4. Contents XV
5. Part I: Foundations and examples of complex heterogeneous systems
6. 1 Introduction and motivation 1
7. 2 Fundamental building blocks for CHeSs 16
8. 3 Examples of CHeSs: toward reliable and systematic descriptions 88
9. 4 CHeSs and measurements: state and parameter estimation 105
10. 5 Reliability and degradation in CHeSs 134
11. 6 Multiscale CHeSs: upscaling, effective properties, and macroscopic descriptions 142
12. 7 Quantum algorithms describing CHeSs 177
13. 8 Electrochemical CHeSs 195
14. Part II: Rigorous mathematical methods: CHeSs relevant applications
15. 9 Electrochemical CHeSs: from well-posedness to battery failure/blow-up 239
16. 10 Rigorous upscaling of CHeSs: the two-scale convergence method 247
17. 11 CHeSs governed by interparticle forces 254
18. Bibliography 269
19. Index 277