Wave hierarchies in viscoelasticity
Materials Science
2012-03-05 v1 Mathematical Physics
math.MP
Abstract
An evolution operator L_n with n arbitrary, typical of several models, is analyzed. When n= 1, the operator characterizes the standard linear solid of viscoelasticity, whose properties are already established in previous papers. The fundamental solution {\epsilon}n of L_n is explicitly obtained and it's estimated in terms of the fundamental solution {\epsilon}1 of L_1. So, whatever n may be, asymptotic properties and maximum theorems are achieved. These results are applied to the Rouse model and reptation model, which describe different aspects of polymer chains.
Cite
@article{arxiv.1203.0466,
title = {Wave hierarchies in viscoelasticity},
author = {M. De Angelis and P. Massarotti and P. Renno},
journal= {arXiv preprint arXiv:1203.0466},
year = {2012}
}