Global Stability Of Large Solutions For The Magnetohydrohynamic Equations

In this paper,we prove the global stability of the strong large solutions for the three-dimensional incompressible magnetohydrodynamic equations with the slip boundary conditions:By giving the conditions of integrability that limit the strong solutionsThe stability of the global strong solution is proved by energy method and proof by contradiction,the conclusion is as follows:In addition,we prove that the strongly helical solutions are global in time in infinite vertical pipelines.Combining with the stability conclusion,the global solution of a class of three-dimensional incompressible magnetohydrodynamic equations with helical vector field disturbance as the initial data is given.