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PROC

We show
the existence of an exponential attractor
for the dynamical system associated with the equations of
the system of the 2D magneto-micropolar fluid flow
in a bounded domain.
The construction of an exponential attractor
relies on the abstract theory given in [2].

PROC

Global attractors and exponential attractors are constructed for
some quasilinear parabolic equations. The construction for the exponential attractor is carried out within the framework of the method of $l$-trajectories.

PROC

This paper is concerned with the initial-boundary value problem
for a nonlinear parabolic equation involving the so-called $p(x)$-Laplacian. A
subdifferential approach is employed to obtain a well-posedness result as well
as to investigate large-time behaviors of solutions.

PROC

We show the existence and uniqueness of a strong solution for the system
of magneto-micropolar fluid motions under some assumptions on the regularity of
given data similar to those of Fujita-Kato [4]. The method of our proof relies on the
abstract nonmonotone perturbation theory developed in ˆ Otani [10].

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