Global unique solutions to the three dimensional incompressible inhomogeneous asymmetric fluids

In this paper, we investigate the stability for the 3D inhomogeneous incompressible asymmetric fluids with initial density in L∞(R3), bounded away from zero, and initial velocity and initial agular velocity sufficiently small in the critical Besov space Ḃ2,112(R3), which implies the uniqueness of the solution to the 3D inhomogeneous incompressible asymmetric fluids. It confirms the uniqueness problem raised by Qian et al. [Math. Ann. 386, 1555–1593 (2023)].