On the local exact controllability of micropolar fluids with few controls
Sergio Guerrero, Pierre Cornilleau
TL;DR
This paper investigates the ability to precisely control micropolar fluid systems in two and three dimensions using minimal control inputs, specifically demonstrating controllability with only one velocity control.
Contribution
It establishes the local exact controllability of micropolar fluids acting on a single velocity component, which is a significant reduction in control complexity compared to previous work.
Findings
Controllability achieved with a single velocity control.
Results valid for 2D and 3D micropolar fluid systems.
Provides theoretical foundation for minimal control strategies.
Abstract
In this paper, we study the local exact controllability to special trajectories of the micropolar fluid systems in dimension d = 2 and d = 3. We show that controllability is possible acting only on one velocity.
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