Long Time Behavior Of 2D Magneto-micropolar Fluid Flow In A Bounded Domain

We study the 2D Magneto-micropolar fluid flow in a bounded domain for both u and h with Lions type boundary conditions. We prove the global existence and uniqueness of the solutions by the Faedo-Galerkin method. Hence, continuous semigroups and compact absorbing sets can be defined. Moreover, we also prove the existence of the global attractor and the exponential attractor.This article is divided into 5 chapters. chapter 1 is introduction, preliminaries that will be needed in the proofs of the conclusions are given in chapter 2. In chapter 3, we show the existence and uniqueness of the weak and strong solutions. In the chapter 4, we give the proofs of the existence of attractors. At last, we conclude in chapter 5 and give some opinions about the future work.