Abstract
In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down in finite time into a splash singularity.
Original language | English (US) |
---|---|
Article number | 12 |
Journal | Annals of PDE |
Volume | 5 |
Issue number | 1 |
DOIs | |
State | Published - Jun 1 2019 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology
- Applied Mathematics
Keywords
- Free boundary
- Incompressible
- Navier-Stokes
- Singularities
- Splash