| In this paper,we mainly consider the stability of strong solutions to the incompressible magneto-micropolar fluid models and tropical climate fluid models with large initial values.The article is divided into two parts.The first part proves the global stability of strong solutions of the 3D incompressible magneto-micropolar fluid equations with the large initial data.In this section,we obtain two stability results:(1).Assuming that there exists a large solution(u’,ω’,b’)of the 3D incompressible magneto-micropolar fluid equations with Navier boundary conditions satisfying the integration condition we can prove that any large solution is globally stable with respect to this solution;(2).According to the reference[7,8],we know that there exists a global large solution(u’,ω’,b’)to the Cauchy problem for the 2D magneto-micropolar fluid equations,and we prove that the solution of the Cauchy problem for the 3D magneto-micropolar fluid equations is globally stable with respect to this 2D solution.In the second part of the paper,we also consider the global stability of the Cauchy solution of the tropical climate fluid model.For this systems,we prove a similar result with(2).By comparing the stability results of the two models,we find that the divergence-free condition(divb=0)of the magnetic field equations does not affect the stability result in our analysis. |
