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math.AP2026
Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in
Ruilin Hu, Quoc-Hung Nguyen, Feng Shao +3
In this paper, we establish local existence of strong solutions for the three-dimensional inhomogeneous incompressible Navier-Stokes equations with initial data lying i…
math.AP2026
Critical mass threshold for the 2D Patlak-Keller-Segel-Navier-Stokes system
Wendong Wang, Dongyi Wei, Zhifei Zhang
In this paper, we investigate critical mass threshold for the Patlak-Keller-Segel-Navier-Stokes system on the two-dimensional whole space and obtain global existence of strong solu…