The existence of an exponential attractor in magneto-micropolar fluid flow via the ℓ-trajectories method

Piotr Orliński. "The existence of an exponential attractor in magneto-micropolar fluid flow via the ℓ-trajectories method." Colloquium Mathematicae 132.2 (2013): 221-238. <http://eudml.org/doc/286322>.

@article{PiotrOrliński2013,
abstract = {We consider the magneto-micropolar fluid flow in a bounded domain Ω ⊂ ℝ². The flow is modelled by a system of PDEs, a generalisation of the two-dimensional Navier-Stokes equations. Using the Galerkin method we prove the existence and uniqueness of weak solutions and then using the ℓ-trajectories method we prove the existence of the exponential attractor in the dynamical system associated with the model.},
author = {Piotr Orliński},
journal = {Colloquium Mathematicae},
keywords = {hydrodynamics; exponential attractor; -trajectories method},
language = {eng},
number = {2},
pages = {221-238},
title = {The existence of an exponential attractor in magneto-micropolar fluid flow via the ℓ-trajectories method},
url = {http://eudml.org/doc/286322},
volume = {132},
year = {2013},
}

TY - JOUR
AU - Piotr Orliński
TI - The existence of an exponential attractor in magneto-micropolar fluid flow via the ℓ-trajectories method
JO - Colloquium Mathematicae
PY - 2013
VL - 132
IS - 2
SP - 221
EP - 238
AB - We consider the magneto-micropolar fluid flow in a bounded domain Ω ⊂ ℝ². The flow is modelled by a system of PDEs, a generalisation of the two-dimensional Navier-Stokes equations. Using the Galerkin method we prove the existence and uniqueness of weak solutions and then using the ℓ-trajectories method we prove the existence of the exponential attractor in the dynamical system associated with the model.
LA - eng
KW - hydrodynamics; exponential attractor; -trajectories method
UR - http://eudml.org/doc/286322
ER -