Abstract
In this paper we prove three different Liouville type theorems for the steady Navier–Stokes equations in R3. In the first theorem we improve logarithmically the well-known L92(R3) result. In the second theorem we present a sufficient condition for the trivially of the solution (v=0) in terms of the head pressure, Q=12|v|2+p. The imposed integrability condition here has the same scaling property as the Dirichlet integral. In the last theorem we present Fubini type condition, which guarantee v=0.
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