In the paper [13], we give the full system of equations modelling the motion of a fluid/viscoelastic solid system, and obtain a differential model similar to the so-called Oldroyd model for a viscoelastic fluid. Moreover, existence results in bounded domains are obtained. In this paper we extend the results in [13] to unbounded domains. The unique solvability of the system of equations is established locally in time and globally in time with so-called smallness restrictions. Moreover, existence of a weak solution is treated.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-14,
author = {Rodolfo Salvi},
title = {Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains},
journal = {Banach Center Publications},
volume = {68},
year = {2005},
pages = {209-237},
zbl = {1101.35355},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-14}
}
Rodolfo Salvi. Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains. Banach Center Publications, Tome 68 (2005) pp. 209-237. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-14/