On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid
Mathematical Physics
2011-04-15 v1 math.MP
Abstract
In this paper we study the quasi-static problem for a viscoelastic fluid by means of the concept of minimal state. This implies the use of a different free energy defined in a wider space of data. The existence and uniqueness is proved in this new space and the asymptotic decay for the problem with non vanishing supplies is obtained for a large class of memory kernels, including those presenting an exponential or polynomial decay.
Keywords
Cite
@article{arxiv.1104.2817,
title = {On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid},
author = {Mauro Fabrizio and Barbara Lazzari and Roberta Nibbi},
journal= {arXiv preprint arXiv:1104.2817},
year = {2011}
}
Comments
6 pages