Gradient Estimates for the Perfect Conductivity Problem

Gradient Estimates for the Perfect Conductivity Problem

This paper concerns optimal gradient estimates of solutions for the perfect conductivity problem with closely spaced interfacial boundaries. The problem arises from composite material. Our estimates exhibit different blow up rates of the gradients, as the distance between the inclusions goes to zero...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2006-12
Hauptverfasser: Bao, Ellen Shiting, Li, YanYan, Yin, Biao
Format: Artikel
Sprache:eng
Schlagworte:
Composite materials
Estimates
Inclusions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper concerns optimal gradient estimates of solutions for the perfect conductivity problem with closely spaced interfacial boundaries. The problem arises from composite material. Our estimates exhibit different blow up rates of the gradients, as the distance between the inclusions goes to zero, in dimensions n=2, n=3 and n\ge 4, which become higher as dimensions increase.
ISSN:2331-8422