Global regularity of three dimensional density patch for inhomogeneous incompressible viscous flow
arXiv:1606.05395
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.
16 pages. This paper has been accepted for publication in SCIENCE CHINA Mathematics
References in corpus (4)
- Global Wellposeness for the 3D inhomogeneous incompressible Navier-Stokes equations
- Global wellposedness to incompressible inhomogeneous fluid system with bounded density and non-Lipschitz velocity
- Global regularities of two-dimensional density patch for inhomogeneous incompressible viscous flow with general density
- Global regularity of 2D density patches for inhomogeneous Navier-Stokes