A priori estimates for fluid Interface problems
Analysis of PDEs
2007-05-23 v2 Differential Geometry
Abstract
We consider the regularity of an interface between two incompressible and inviscid fluids flows in the presence of surface tension. We obtain local in time estimates on the interface in and the velocity fields in . These estimates are obtained using geometric considerations which show that the Kelvin-Helmholtz instabilities are a consequence of a curvature calculation.
Cite
@article{arxiv.math/0609542,
title = {A priori estimates for fluid Interface problems},
author = {Jalal Shatah and Chongchun Zeng},
journal= {arXiv preprint arXiv:math/0609542},
year = {2007}
}
Comments
17 pages, submitted, added references