Global well-posedness of 3-D inhomogeneous Navier–Stokes system with ill-prepared initial data

  • Ping Zhang

    Chinese Academy of Sciences, Beijing, China
  • Zhifei Zhang

    Peking University, Beijing, China
Global well-posedness of 3-D inhomogeneous Navier–Stokes system with ill-prepared initial data cover
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Abstract

In this paper, we investigate the global well-posedness of 3-D incompressible inhomogeneous Navier–Stokes system with ill-prepared initial data of the form

for any , and being sufficiently small. This result improves the global well-posedness result for so-called well-prepared initial data, which corresponds to the case of .

Cite this article

Ping Zhang, Zhifei Zhang, Global well-posedness of 3-D inhomogeneous Navier–Stokes system with ill-prepared initial data. Rev. Mat. Iberoam. 34 (2018), no. 1, pp. 355–395

DOI 10.4171/RMI/988