Any Ḣ¹ solution to the stationary Navier-Stokes equations in R³ is identically zero when its radial velocity component lies in L^p(R³) for 3/2 < p ≤ 3.
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Liouville Theorems for Stationary Navier-Stokes Equations via the Radial Velocity Component
Any Ḣ¹ solution to the stationary Navier-Stokes equations in R³ is identically zero when its radial velocity component lies in L^p(R³) for 3/2 < p ≤ 3.