The existence of an exponential attractor in magneto-micropolar fluid flow via the $\ell $-trajectories method
Volume 132 / 2013
Colloquium Mathematicum 132 (2013), 221-238
MSC: Primary 35Q35; Secondary 35B41.
DOI: 10.4064/cm132-2-5
Abstract
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.
