- journal article metadata
European Mathematical Society Publishing House
2018-03-11 23:30:00
Journal of the European Mathematical Society
J. Eur. Math. Soc.
JEMS
1435-9855
1435-9863
General
10.4171/JEMS
http://www.ems-ph.org/doi/10.4171/JEMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
20
2018
3
Control of water waves
Thomas
Alazard
École Normale Supérieure, Paris, France
Pietro
Baldi
Università di Napoli Federico II, Italy
Daniel
Han-Kwan
École Polytechnique, Palaiseau, France
Controllability, water waves, capillarity (surface tension), Ingham inequality, paradifferential calculus
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.
Systems theory; control
Partial differential equations
Fluid mechanics
657
745
10.4171/JEMS/775
http://www.ems-ph.org/doi/10.4171/JEMS/775
2
13
2018