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Conditional Liouville theorems for the Navier-Stokes equations

Published 17 Jun 2025 in math.AP | (2506.14533v1)

Abstract: We present a novel approach to the Liouville problem for the stationary Navier-Stokes equations. As an application of our method, we prove conditional Liouville theorems with assumptions on the antiderivative of the velocity that represent substantial improvements on what was heretofore known.

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