English

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

Analysis of PDEs 2016-10-11 v3

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.

Keywords

Cite

@article{arxiv.1608.08432,
  title  = {Global regularity of two dimensional inhomogeneous incompressible Navier-Stokes Equations with large data},
  author = {Ning Jiang and Yilong Luo},
  journal= {arXiv preprint arXiv:1608.08432},
  year   = {2016}
}

Comments

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