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

2016/08/30 by Ning Jiang, Jiang, Ning, Yi-Long Luo +1
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1608.08432

openalex publication_date 2016/08/30 · openalex created_date 2016/09/16 · openalex updated_date 2026/07/28

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.

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