On the local strong solutions for a system describing the flow of a viscoelastic fluid

Ondřej Kreml, and Milan Pokorný. "On the local strong solutions for a system describing the flow of a viscoelastic fluid." Banach Center Publications 86.1 (2009): 195-206. <http://eudml.org/doc/281717>.

@article{OndřejKreml2009,
abstract = {We consider a model for the viscoelastic fluid which has recently been studied in [4] and [1]. We show the local-in-time existence of a strong solution to the corresponding system of partial differential equations under less regularity assumptions on the initial data than in the above mentioned papers. The main difference in our approach is the use of the $L^p$ theory for the Stokes system.},
author = {Ondřej Kreml, Milan Pokorný},
journal = {Banach Center Publications},
keywords = {viscoelastic fluid; Oldroyd model; local strong solution;  theory},
language = {eng},
number = {1},
pages = {195-206},
title = {On the local strong solutions for a system describing the flow of a viscoelastic fluid},
url = {http://eudml.org/doc/281717},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Ondřej Kreml
AU - Milan Pokorný
TI - On the local strong solutions for a system describing the flow of a viscoelastic fluid
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 195
EP - 206
AB - We consider a model for the viscoelastic fluid which has recently been studied in [4] and [1]. We show the local-in-time existence of a strong solution to the corresponding system of partial differential equations under less regularity assumptions on the initial data than in the above mentioned papers. The main difference in our approach is the use of the $L^p$ theory for the Stokes system.
LA - eng
KW - viscoelastic fluid; Oldroyd model; local strong solution;  theory
UR - http://eudml.org/doc/281717
ER -