Description
We shall begin with reminders on the classical Liouville theorems for the Laplace equation. Then we shall review the state of the art about Liouville theorems for the stationary Navier-Stokes system for incompressible fluids. We will show that some improvements are possible, using some conditions on the spectrum of the solutions. In particular, we will show that the solutions naturally belong to some Wiener-type of algebra, stable under the action of singular integrals.