Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains

Rodolfo Salvi. "Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains." Banach Center Publications 70.1 (2005): 209-237. <http://eudml.org/doc/282544>.

@article{RodolfoSalvi2005,
abstract = {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.},
author = {Rodolfo Salvi},
journal = {Banach Center Publications},
keywords = {Oldroyd model; unbounded domains; unique solvability; smallness restrictions},
language = {eng},
number = {1},
pages = {209-237},
title = {Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains},
url = {http://eudml.org/doc/282544},
volume = {70},
year = {2005},
}

TY - JOUR
AU - Rodolfo Salvi
TI - Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains
JO - Banach Center Publications
PY - 2005
VL - 70
IS - 1
SP - 209
EP - 237
AB - 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.
LA - eng
KW - Oldroyd model; unbounded domains; unique solvability; smallness restrictions
UR - http://eudml.org/doc/282544
ER -