Abstract

In this brief note we are concerned on the Liouville type problem for the stationary Navier-Stokes equations in R3. We deduce an asymptotic formula for an integral involving the head pressure, Q=12|v|2+p, and its derivative over domains enclosed by level surfaces of Q. This formula provides us with new sufficient condition for the triviality of solution to the Navier-Stokes equations.

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