Control of water waves
Analysis of PDEs
2015-01-27 v1 Optimization and Control
Abstract
We prove local exact controllability in arbitrary short time of the two-dimensional incompressible Euler equation with free surface, in the case with surface tension. This proves that one can generate arbitrary small amplitude periodic gravity-capillary water waves by blowing on a localized portion of the free surface of a liquid.
Keywords
Cite
@article{arxiv.1501.06366,
title = {Control of water waves},
author = {Thomas Alazard and Pietro Baldi and Daniel Han-Kwan},
journal= {arXiv preprint arXiv:1501.06366},
year = {2015}
}
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71 pages