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math.AP2021
Shallow water waves generated by a floating object: a control theoretical perspective
Pei Su, Marius Tucsnak
We consider a control system describing the interaction of water waves with a partially immersed rigid body constraint to move only in the vertical direction. The fluid is modeled…
math.AP2021★ 1 cited
Asymptotic behaviour of a linearized water waves system in a rectangle
Pei Su
We consider the asymptotic behaviour of small-amplitude gravity water waves in a rectangular domain where the water depth is much smaller than the horizontal scale. The control act…
math.AP2020
Stabilizability properties of a linearized water waves system
Pei Su, Marius Tucsnak, George Weiss
We consider the strong stabilization of small amplitude gravity water waves in a two dimensional rectangular domain. The control acts on one lateral boundary, by imposing the horiz…