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Approximate controllability of the Euler equations is investigated by means of a finite set of actuators. It is proven that approximate controllability holds if we can find a saturating subset of actuators. The notion of saturating set is relaxed when compared to previous literature, so that a weaker sufficient condition for approximate controllability is provided. The result holds for general bounded two-dimensional spatial domains with smooth boundary.
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Sérgio S. Rodrigues (2024) studied this question.
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