Control of water waves
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🧮 math.AP
math.OC
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surfacearbitraryfreewaterwavesamplitudeblowingcase
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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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