Global regularity of two dimensional inhomogeneous incompressible Navier-Stokes Equations with large data

Abstract

For two dimensional inhomogeneous Navier-Stokes of incompressible flows, with the assumption that the viscosity depends on the density but with a positive lower bound, using a partial regularity approach, in particular some enhanced decay estimates, we establish the global in time regularity for large data away from vacuum.

withdraw due to some gaps. We will post another paper in which prove a weaker result