Controlling fluid surface oscillations
Published on:
28 February 2024
Primary Category:
Analysis of PDEs
Paper Authors:
M. A. Fontelos,
R. Lecaros,
J. López-Ríos,
A. Pérez
Bullets
Key Details
Establishes unique continuation for a non-local formulation of surface gravity waves
Connects this to approximate controllability by interior control sources
Model accommodates various geometries through conformal mapping
Linearization of water-waves system for scenarios with rigid sidewalls
Control methodology distinguishes itself by linking non-local and local systems
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AI generated summary
Controlling fluid surface oscillations
This paper studies control of fluid surface oscillations using a mathematical model tailored for scenarios with rigid surfaces interfacing with the free surface. Unique continuation principles are established enabling approximate controllability by an interior control source. This allows driving the system from any initial state to sufficiently close to any final state over a time interval.
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