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math.AP2026
Global Yudovich-type solutions to a reduced model for micropolar fluids with zero viscosity
Francesco Fanelli, Pedro Gabriel Fernández Dalgo
In this paper, we study the well-posedeness at low regularity of a two-dimensional system obtained as a reduced model for micropolar fluid dynamics. At the mathematical level, the…
math.AP2024
Micropolar fluids with initial angular velocities in non-homogeneous Sobolev spaces of order
Pedro Gabriel Fernández Dalgo
In this paper, we investigate fractional energy methods for Micropolar fluids, starting with an initial angular velocity of negative Sobolev regularity. For the initial angular vel…