| In this paper,the global well-posedness of the magneto-micropolar fluid equations is studied.Under the assumption that the equation satisfies the Diophantine condition,we obtain the global well-posedness of the three-dimensional magnetomicropolar fluid equations mainly by the method of energy estimation.In the field of fluid,the magneto-micropolar fluid equations covers both the micropolar fluid equations and the magnetohydrodynamic(MHD)equations,so it can represent very rich fluid properties.And it is often used in production and life.This paper is divided into three chapters.In Chapter 1,the development history of partial differential equation is reviewed and its importance in life is analyzed.Then,the origin and research status of magneto-micropolar fluid equations,MHD equations and micropolar fluid equations are analyzed.In Chapter 2,the definition of Diophantine conditions is given,and some inequalities are given in the form of lemmas.However,some lemmas are not proved,and only the final results and references are given.In Chapter 3,the global well-posedness of the solution of the three dimensional magneto-micropolar fluid equations is described in detail.First,an energy estimator and a key estimator are obtained by using the energy method and the lemma of Chapter 2.Then,the existence of the global solution of the three dimensional magneto-micropolar fluid equations with infinite magnetic Reynolds number is proved by combining these two estimators. |
