Global Regularity for the 2D Magneto-Micropolar Equations with Partial Dissipation

@article{Regmi2016GlobalRF,
  title={Global Regularity for the 2D Magneto-Micropolar Equations with Partial Dissipation},
  author={Dipendra Regmi and Jiahong Wu},
  journal={The Journal of Men's Studies},
  year={2016},
  volume={49},
  pages={169-194}
}
This paper studies the global existence and regularity of classical solutions to the 2D incompressible magneto-micropolar equations with partial dissipation. The magneto-micropolar equations model the motion of electrically conducting micropo- lar fluids in the presence of a magnetic field. When there is only partial dissipation, the global regularity problem can be quite difficult. We are able to single out three special partial dissipation cases and establish the global regularity for each… 

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References

SHOWING 1-10 OF 32 REFERENCES

The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion

TLDR
This result significantly improves previous work and brings the resolution of the well-known global regularity problem on the 2D MHD equations with standard Laplacian magnetic diffusion, namely, the case when $\beta=1$.

BKM's Criterion and Global Weak Solutions for Magnetohydrodynamics with Zero Viscosity

In this paper we derive a criterion for the breakdown of classical solutions to the incompressible magnetohydrodynamic equations with zero viscosity and positive resistivity in $\mathbb{R}^3$. This

Global Regularity for a Class of Generalized Magnetohydrodynamic Equations

It remains unknown whether or not smooth solutions of the 3D incompressible MHD equations can develop finite-time singularities. One major difficulty is due to the fact that the dissipation given by

Global regularity of 2D generalized MHD equations with magnetic diffusion

This paper is concerned with the global regularity of the 2D (two-dimensional) generalized magnetohydrodynamic equations with only magnetic diffusion $${\Lambda^{2\beta} b}$$Λ2βb . It is proved that

Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity

Global Existence for Two Dimensional Incompressible Magnetohydrodynamic Flows with Zero Magnetic Diffusivity

The existence of global-in-time classical solutions to the Cauchy problem of incompressible Magnetohydrodynamic flows with zero magnetic diffusivity is considered in two dimensions. The linearization