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 Sverák valid for the stationary variant of the classical Navier–Stokes equations in 2D to the degenerate power law fluid model.