Global attractors for nonlinear viscoelastic equations with memory
Analysis of PDEs
2013-09-19 v1
Abstract
We study the asymptotic properties of the semigroup S(t) arising from a nonlinear viscoelastic equation with hereditary memory on a bounded three-dimensional domain written in the past history framework of Dafermos. We establish the existence of the global attractor of optimal regularity for S(t) for a wide class of nonlinearities as well as within the most general condition on the memory kernel.
Keywords
Cite
@article{arxiv.1309.4595,
title = {Global attractors for nonlinear viscoelastic equations with memory},
author = {Monica Conti and Elsa M. Marchini and Vittorino Pata},
journal= {arXiv preprint arXiv:1309.4595},
year = {2013}
}