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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.AP2025
On the Rayleigh--B\' enard convection problem for rotating fluids
Francesco Fanelli, Eduard Feireisl
In contrast with a large variety of conventional models of thermally driven fluids, we show that the standard Oberbeck--Boussinesq approximation \emph{cannot} be obtained as a sing…