The appearance of memory effects for a conservative system

The appearance of memory effects for a conservative system

We adapt and generalize to conservative systems the analysis of a model in Tartar (1989), a sequence of differential equations which in the limit gives an effective equation with a memory effect: our result is obtained under more realistic assumptions concerning the oscillations of the initial data...

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Veröffentlicht in:Nonlinear analysis 2018-12, Vol.177, p.532-542
Hauptverfasser: Hamdache, Kamel, Tartar, Luc
Format: Artikel
Sprache:eng
Schlagworte:
Conservative system
Differential equations
Homogenization
Impact analysis
Memory
Nonlocal effect
Studies
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Beschreibung
Zusammenfassung:We adapt and generalize to conservative systems the analysis of a model in Tartar (1989), a sequence of differential equations which in the limit gives an effective equation with a memory effect: our result is obtained under more realistic assumptions concerning the oscillations of the initial data and the coefficients.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2018.04.017