On the global existence for a regularized model of viscoelastic non-Newtonian fluid

Ondřej Kreml, Milan Pokorný, and Pavel Šalom. "On the global existence for a regularized model of viscoelastic non-Newtonian fluid." Colloquium Mathematicae 139.2 (2015): 149-163. <http://eudml.org/doc/283497>.

@article{OndřejKreml2015,
abstract = {We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like $μ(D) ∼ |D|^\{p-2\}$ (p > 6/5), regularized by a nonlinear stress diffusion. Using the Lipschitz truncation method we prove global existence of a weak solution to the corresponding system of partial differential equations.},
author = {Ondřej Kreml, Milan Pokorný, Pavel Šalom},
journal = {Colloquium Mathematicae},
keywords = {viscoelastic fluid; non-Newtonian fluid; Lipschitz truncation; global existence},
language = {eng},
number = {2},
pages = {149-163},
title = {On the global existence for a regularized model of viscoelastic non-Newtonian fluid},
url = {http://eudml.org/doc/283497},
volume = {139},
year = {2015},
}

TY - JOUR
AU - Ondřej Kreml
AU - Milan Pokorný
AU - Pavel Šalom
TI - On the global existence for a regularized model of viscoelastic non-Newtonian fluid
JO - Colloquium Mathematicae
PY - 2015
VL - 139
IS - 2
SP - 149
EP - 163
AB - We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like $μ(D) ∼ |D|^{p-2}$ (p > 6/5), regularized by a nonlinear stress diffusion. Using the Lipschitz truncation method we prove global existence of a weak solution to the corresponding system of partial differential equations.
LA - eng
KW - viscoelastic fluid; non-Newtonian fluid; Lipschitz truncation; global existence
UR - http://eudml.org/doc/283497
ER -