Control of water waves

2015/01/26 by Alazard, Thomas, Baldi, Pietro, Han-Kwan, Daniel · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1501.06366

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.

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• Two-dimensional water waves with constant vorticity and general bottom topography

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