Geodesic
Control of water waves
Journal of the European Mathematical Society, Tome 20 (2018) no. 3, pp. 657-745 Cet article a éte moissonné depuis la source EMS Press

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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
Keywords: Controllability, water waves, capillarity (surface tension), Ingham inequality, paradifferential calculus 
@article{JEMS_2018_20_3_a2,
     author = {Thomas Alazard and Pietro Baldi and Daniel Han-Kwan},
     title = {Control of water waves},
     journal = {Journal of the European Mathematical Society},
     pages = {657--745},
     year = {2018},
     volume = {20},
     number = {3},
     doi = {10.4171/jems/775},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/775/}
}
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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

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