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

TL;DR

This paper extends classical Liouville-type theorems to the degenerate power law fluid model in 2D, providing new insights into the behavior of steady flows of such fluids.

Contribution

It introduces Liouville-type theorems for degenerate power law fluids in the plane, generalizing known results for classical Navier-Stokes equations.

Findings

Liouville-type theorems established for degenerate power law fluids in 2D

Generalization of classical results to nonlinear, degenerate fluid models

Enhanced understanding of steady flow behavior in complex fluids

Abstract

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