The existence of an exponential attractor in magneto-micropolar fluid flow via the $\ell $-trajectories method
Colloquium Mathematicum, Tome 132 (2013) no. 2, pp. 221-238
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We consider the magneto-micropolar fluid flow in a bounded domain $\varOmega \subset \mathbb {R}^2$. 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 $\ell $-trajectories method we prove the existence of the exponential attractor in the dynamical system associated with the model.
Keywords:
consider magneto micropolar fluid flow bounded domain nbsp varomega subset mathbb flow modelled system pdes generalisation two dimensional navier stokes equations using galerkin method prove existence uniqueness weak solutions using ell trajectories method prove existence exponential attractor dynamical system associated model
Affiliations des auteurs :
Piotr Orliński 1
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author = {Piotr Orli\'nski},
title = {The existence of an exponential attractor in magneto-micropolar fluid flow via the $\ell $-trajectories method},
journal = {Colloquium Mathematicum},
pages = {221--238},
publisher = {mathdoc},
volume = {132},
number = {2},
year = {2013},
doi = {10.4064/cm132-2-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm132-2-5/}
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Piotr Orliński. The existence of an exponential attractor in magneto-micropolar fluid flow via the $\ell $-trajectories method. Colloquium Mathematicum, Tome 132 (2013) no. 2, pp. 221-238. doi: 10.4064/cm132-2-5
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