Topics on Concentration Phenomena and Problems with Multiple Scales
The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena are a challenging topic of very active research. This volume includes lecture notes devoted to the asymptotic analysis of such problems when the multi-scale behaviour derives from scale separa...
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| Další autoři: | , |
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | English |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
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| Vydání: | 1st ed. 2006. |
| Edice: | Lecture Notes of the Unione Matematica Italiana,
2 |
| Témata: | |
| On-line přístup: | https://doi.org/10.1007/978-3-540-36546-4 |
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Obsah:
- Problems with multiple scales
- From discrete systems to continuous variational problems: an introduction
- Relaxation for bulk and interfacial energies
- Convergence of Dirichlet forms on fractals
- Homogenization in perforated domains
- Homogenization of random non stationary parabolic operators
- Problems with concentration
- ?-convergence for concentration problems
- Gamma-convergence of gradient flows and applications to Ginzburg-Landau vortex dynamics
- PDE analysis of concentrating energies for the Ginzburg-Landau equation.