Exponential attractors for 2d magneto-micropolor fluid flow in bounded domain
Kei Matsuura
Conference Publications 2005, 2005(Special): 634-641 doi: 10.3934/proc.2005.2005.634
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].
keywords: exponential attractor magneto-micropolar fluid.
Exponential attractors for a quasilinear parabolic equation
Kei Matsuura Mitsuharu Otani
Conference Publications 2007, 2007(Special): 713-720 doi: 10.3934/proc.2007.2007.713
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.
keywords: quasilinear parabolic equation. Exponential attractor
Well-posedness and large-time behaviors of solutions for a parabolic equation involving $p(x)$-Laplacian
Goro Akagi Kei Matsuura
Conference Publications 2011, 2011(Special): 22-31 doi: 10.3934/proc.2011.2011.22
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.
keywords: $p(x)$-Laplacian subdifferential parabolic equation variable exponent Lebesgue and Sobolev spaces
Strong solutions of magneto-micropolar fluid equation
Hiroshi Inoue Kei Matsuura Mitsuharu Ôtani
Conference Publications 2003, 2003(Special): 439-448 doi: 10.3934/proc.2003.2003.439
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].
keywords: nonmonotone perturbation theory. Magneto-micropolar fluids

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