Control of water waves
Journal of the European Mathematical Society, Tome 20 (2018) no. 3, pp. 657-745.

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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.
DOI : 10.4171/jems/775
Classification : 93-XX, 35-XX, 76-XX
Mots-clés : Controllability, water waves, capillarity (surface tension), Ingham inequality, paradifferential calculus
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Thomas Alazard; Pietro Baldi; Daniel Han-Kwan. Control of water waves. Journal of the European Mathematical Society, Tome 20 (2018) no. 3, pp. 657-745. doi : 10.4171/jems/775. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/775/

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