Global well-posedness of chemotaxis-Navier-Stokes system with refined rough initial data in \(\mathbb{R}^d\)

Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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