A priori estimates for fluid interface problems |
| |
| Authors: | Jalal Shatah Chongchun Zeng |
| |
| Institution: | 1. Courant Institute, 251 Mercer Street, New York, NY 10012;2. Georgia Institute of Technology, School of Mathematics, Atlanta, GA 30332‐0160 |
| |
| Abstract: | We consider the regularity of an interface between two incompressible and inviscid fluid flows in the presence of surface tension. We obtain local‐in‐time estimates on the interface in H(3/2)k + 1 and the velocity fields in H(3/2)k. These estimates are obtained using geometric considerations which show that the Kelvin‐Helmholtz instabilities are a consequence of a curvature calculation. © 2007 Wiley Periodicals, Inc. |
| |
| Keywords: | |
|
|
