Paper Info
Title
Homogenization of pinning conditions on periodic networks.
Abstract
This paper deals with the description of the overall effect of pinning conditions in discrete systems. We study a variational problem on the discrete in which pinning sites are modeled as network subsets on which concentrated forces are imposed. We want to determine the asymptotic effect of pinning conditions on a periodic lattice as its size vanishes. Our analysis is performed in the framework of Gamma-convergence and highlights the analogies and differences with the corresponding continuous problem, i.e. periodically perforated domains. We derive a functional form for the limit energies which depends on the relationship between the space dimension and the growth rate of the interaction functions.
Year
DOI
Venue
2012
10.3934/nhm.2012.7.543
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
Field
DocType
Discrete energies,Gamma-convergence,periodic network,pinning sites,critical exponent
Lattice (order),Mathematical analysis,Homogenization (chemistry),Critical exponent,Periodic graph (geometry),Mathematics,Growth rate
Journal
Volume
Issue
ISSN
7
SP3
1556-1801
Citations 
PageRank 
References 
0
0.34
1
Authors
1
Name
Order
Citations
PageRank
Laura Sigalotti100.34