On the existence of pullback attractor for a two-dimensional shear flow with Tresca's boundary condition

Mahdi Boukrouche, and Grzegorz Łukaszewicz. "On the existence of pullback attractor for a two-dimensional shear flow with Tresca's boundary condition." Banach Center Publications 81.1 (2008): 81-93. <http://eudml.org/doc/282027>.

@article{MahdiBoukrouche2008,
abstract = {We consider a two-dimensional Navier-Stokes shear flow with time dependent boundary driving and subject to Tresca law. We establish the existence of a unique global in time solution and then, using a recent method based on the concept of the Kuratowski measure of noncompactness of a bounded set, we prove the existence of the pullback attractor for the associated cocycle. This research is motivated by a problem from lubrication theory.},
author = {Mahdi Boukrouche, Grzegorz Łukaszewicz},
journal = {Banach Center Publications},
keywords = {non-autonomous Navier-Stokes equations; lubrication; global in time solution},
language = {eng},
number = {1},
pages = {81-93},
title = {On the existence of pullback attractor for a two-dimensional shear flow with Tresca's boundary condition},
url = {http://eudml.org/doc/282027},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Mahdi Boukrouche
AU - Grzegorz Łukaszewicz
TI - On the existence of pullback attractor for a two-dimensional shear flow with Tresca's boundary condition
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 81
EP - 93
AB - We consider a two-dimensional Navier-Stokes shear flow with time dependent boundary driving and subject to Tresca law. We establish the existence of a unique global in time solution and then, using a recent method based on the concept of the Kuratowski measure of noncompactness of a bounded set, we prove the existence of the pullback attractor for the associated cocycle. This research is motivated by a problem from lubrication theory.
LA - eng
KW - non-autonomous Navier-Stokes equations; lubrication; global in time solution
UR - http://eudml.org/doc/282027
ER -