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Control of water waves - MaRDI portal

Control of water waves (Q1746194)

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Control of water waves
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    Control of water waves (English)
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    24 April 2018
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    Summary: We prove local exact controllability in arbitrarily short time of the two-dimensional incompressible Euler equation with free surface, in the case with surface tension. This proves that one can generate arbitrarily small amplitude periodic gravity-capillary water waves by blowing on a localized portion of the free surface of a liquid.
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    controllability
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    water waves
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    capillarity (surface tension)
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    Ingham inequality
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    paradifferential calculus
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