Commutability of Gamma-limits in problems with multiple scales
Logos
ISBN 978-3-8325-4478-2
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Bibliografische Daten
Buch. Softcover
2017
In englischer Sprache
Umfang: 145 S.
Format (B x L): 14,5 x 21 cm
Verlag: Logos
ISBN: 978-3-8325-4478-2
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Augsburger Schriften zur Mathematik, Physik und Informatik; 33
Produktbeschreibung
The main motivation of this work is to investigate properties of doubly indexed integral functionals that Gamma-converge for one index fixed. In other words, for two possible approximations we would like to determine whether we may perform them consecutively and if they commute.
Our examples are taken from material science with homogenization being one of these two processes. In the first part we are considering a setting related to the elastic regime. However, our assumptions are fairly general and allow for applications in different areas. The second part is devoted to problems in the Hencky plasticity. They are considerably different due to special growth properties of the density.
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