On free surfaces in hydrostatic flows |
| |
Authors: | David Henry |
| |
Affiliation: | 1. Faculty of Mathematics , University of Vienna , Nordbergstra?e 15, Vienna 1090 , Austria david.henry@univie.ac.at |
| |
Abstract: | In the following note we investigate the occurrence of non-trivial free-surfaces for hydrostatic flows. We show that, for travelling-wave solutions of the full Euler equations where we invoke the hydrostatic approximation, no non-flat travelling wave flows occur unless the resulting flow is outside the domain of current local or global existence results for travelling water waves. |
| |
Keywords: | hydrostatic limit free surface laminar flows |
|
|