Regularity Criterion For Solutions Of Three-Dimensional MHD Equations In Infinite Channel

In this paper, we consider the three-dimensional MHD equations in infinitechannel.There are many ways of studying the regularity criteria.But the mostimportant one is inaugurated by Serrin. That is to say,We can add appropriateconditions to the variable,so that the weak solution can smooth enough. In thisarticle we provide a regularity criterion for solutions of the the three-dimensionalMHD equations in terms of the vertical component of the velocity field and themagnet field.This article is divided into 4 chapters. Chapter 1 is introduction. Prelimi-naries needed in the proofs of the conclusions are given in Chapter 2. In Chapter3, we prove the regularity criterion for solutions of three-dimensional turbulentchannel ?ows. Finally, we conclude in Chapter 4 and give some comments onpossible future work.