English

Global regularity of three dimensional density patch for inhomogeneous incompressible viscous flow

Analysis of PDEs 2017-11-20 v3

Abstract

The present work is devoted to proving that the boundary regularity of the three dimensional density patch persists by time evolution for inhomogeneous incompressible viscous flow, with some smallness condition on the initial velocity.

Keywords

Cite

@article{arxiv.1606.05395,
  title  = {Global regularity of three dimensional density patch for inhomogeneous incompressible viscous flow},
  author = {Xian Liao and Yanlin Liu},
  journal= {arXiv preprint arXiv:1606.05395},
  year   = {2017}
}

Comments

16 pages. This paper has been accepted for publication in SCIENCE CHINA Mathematics