Control of water waves
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: SLMath: Eisenbud Auditorium
water waves in a tank
generating water waves
gravity-capillary interactions
finite boundary condition
local data
quasi-linear PDE
34D45 - Attractors of solutions to ordinary differential equations [See also 37C70, 37D45]
34K11 - Oscillation theory of functional-differential equations
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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
Alazard-Notes
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Alazard-Talk
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14390
H.264 Video |
14390.mp4
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