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

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arxiv 1608.08432 v3 pith:LYDXGXFT submitted 2016-08-30 math.AP

classification math.AP
keywords regularitydatadimensionalglobalincompressibleinhomogeneouslargenavier-stokes
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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.

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