Control of water waves
Presenter
October 27, 2015
Keywords:
- water waves in a tank
- generating water waves
- gravity-capillary interactions
- finite boundary condition
- local data
- quasi-linear PDE
MSC:
- 76B15
- 35A01
- 35B30
Abstract
Water waves are disturbances of the free surface of a liquid. They are, in general, produced by the immersion of a solid body or by impulsive pressures applied on the free surface. The two questions we discuss in this talk are the following:
- which waves can be generated by blowing on a localized portion of the free surface ?
Our main result with Pietro Baldi and Daniel Han-Kwan asserts that one can generate any small amplitude, periodic in x, two-dimensional, gravity-capillary water waves.
- consider now gravity water waves in a rectangular tank. Is-it possible to estimate their energy by looking only at the motion of some of the curves of contact between the free surface and the vertical walls.