Liouville-type theorems for steady flows of degenerate power law fluids in the plane

摘要

We extend the Liouville-type theorems of Gilbarg and Weinberger and of Koch,Nadirashvili, Seregin and Sver\'ak valid for the stationary variant of theclassical Navier-Stokes equations in 2D to the degenerate power law fluidmodel.