Gamma-Convergence for Beginners / Edition 22

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Overview

This book is a compelling handbook in this important topic in the field of Applied Mathematics. Written by a leading expert in the field, it provides a brief and simple introduction to this subject, based on the treatment of a series of fundamental problems that illustrate the main features and techniques of Gamma-convergence without the burden of higher-dimensional technicalities.
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Product Details

Table of Contents

Preface
Introduction
1. *G-convergence by numbers
2. Integral problems
3. Some homogenization problems
4. From discrete systems to integral functionals
5. Segmentation problems
6. Phase-transition problems
7. Free-discontinuity problems
8. Approximation of free-discontinuity problems
9. More homogenization problems
10. Interaction between elliptic problems and partition problems
11. Discrete systems and free-discontinuity problems
12. *Some comments on vectoral problems
13. *Dirichlet problems in perforated domains
14. *Dimension-reduction problems
15. *The 'slicing' method
16. *An introduction to the localization method of *G-convergence
Appendix A. Some quick recalls
Appendix B. Characterization of *G-convergence for 1D integral problems
List of symbols
References
Index
B.

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