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Preface Contents Introduction Notation
Part I: Lower Semicontinuity
2. Weak convergence
3. Minimum problems in sobolev spaces
4. Necessary conditions for weak lower semicontinuity
5. Sufficient conditions for weak lower semicontinuity
Part II: Gamma-convergence
7. A naive introduction of Gamma-convergence
8. The indirect methods of Gamma-convergence
9. Direct methods - an integral representation result
10. Increasing set functions
11. The fundamental estimate
12. Integral functionals with standard growth condition
Part III: Basic Homogenization
13. A one-dimensional example
14. Periodic homogenization
15. Almost periodic homogenization
16. Two applications
17. A closure theorem for the homogenization
18. Loss of polyconvexity by homogenization
Part IV: Finer Homogenization Results
19. Homogenization of connected media
20. Homogenization with stiff and soft inclusions
21. Homogenization with non-standard growth conditions
22. Iterated homogenization
23. Correctors for the homogenization
24. Homogenization of multi-dimensional structures
Part V: Appendices
A Almost periodic functions B Construction of extension operators C Some regularity results References Index
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Laura Renk
reviewed Homogenization of Multiple Integrals on September 05, 2015
Homogenization of Multiple Integrals
This was very helpful! I especially liked how it tried to relate the math to everyday topics and the story problem themes were very helpful as well!
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Add Homogenization of Multiple Integrals, Homogenization theory describes the macroscopic properties of structures with fine microstructure. Its applications are diverse and include optimal design and the study of composites. The theory relies on the asymptotic analysis of fast-oscillating differ, Homogenization of Multiple Integrals to the inventory that you are selling on WonderClubX
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Add Homogenization of Multiple Integrals, Homogenization theory describes the macroscopic properties of structures with fine microstructure. Its applications are diverse and include optimal design and the study of composites. The theory relies on the asymptotic analysis of fast-oscillating differ, Homogenization of Multiple Integrals to your collection on WonderClub |