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Notes on the Liouville type problem for the stationary Navier-Stokes equations in $\Bbb R^3$ by Chae, Dongho is a scholarly article available to read on EtoBox.

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In this paper we study the Liouville type problem for the stationary Navier-Stokes equations in $\Bbb R^3$. We deduce an asymptotic formula for an integral involving the head pressure, $Q=\frac12 |v|^2 +p$, 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.

Author

Chae, Dongho

Published

2018

Language

EN