Global well-posedness for the \(2\frac{1}{2}\)D incompressible magneto-micropolar fluid equations with mixed partial viscosity. (English) Zbl 1359.76338
Summary: In this paper, we prove the global regularity of classical solution to the magneto-micropolar fluid equations in \(2\frac{1}{2}\) dimension with vertical dissipation, horizontal magnetic diffusion and horizontal vortex viscosity.
MSC:
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 35Q35 | PDEs in connection with fluid mechanics |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
Keywords:
global regularity; \(2\frac{1}{2}\)D magneto-micropolar fluid equations; vertical dissipation; horizontal magnetic diffusion; horizontal vortex viscosityReferences:
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