Global Regularity of Three-Dimensional Incompressible Magneto-Micropolar Fluid Equations with Damping

We deal with the Cauchy problem of three-dimensional incompressible magnetomicropolar fluid equations with a nonlinear damping term alpha vertical bar mu vertical bar(beta-1)u (alpha > 0 and beta >= 1) in the momentum equations. By cancelation properties of the system under study, we show that there exists a unique global strong solution for any beta >= 4. Our work extends previous results.

Automated summary

The study focuses on the Cauchy problem of three-dimensional incompressible magnetomicropolar fluid equations, with a nonlinear damping term in the momentum equations. By analyzing cancelation properties of the system, the researchers demonstrate the existence of a unique global strong solution for beta values greater than or equal to 4. This work extends previous results in the field.