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- W2225656880 abstract "We review recent developments on the micropolar and magneto-micropolar fluid systems in spatial dimensions two and three from both deterministic and stochastic perspectives. Under the deterministic setting, we review the global regularity result in two-dimensional space with zero angular viscosity and a regularity criterion in three-dimensional space that involves only two velocity vector field components. Under the stochastic setting, we review the existence of a weak martingale solution in three-dimensional space and the unique strong solution in two-dimensional space under a suitable condition on the noise. Throughout the paper, we compare these results with other partial differential equations related to fluid mechanics, such as the Navier-Stokes equations, magnetohydrodynamics and Boussinesq systems." @default.
- W2225656880 created "2016-06-24" @default.
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- W2225656880 date "2015-01-01" @default.
- W2225656880 modified "2023-09-23" @default.
- W2225656880 title "Recent Developments on the Micropolar and Magneto-Micropolar Fluid Systems: Deterministic and Stochastic Perspectives" @default.
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