Global regularity properties of steady shear thinning flows

TL;DR

This paper investigates the regularity of weak solutions to p-Stokes systems modeling steady shear thinning fluids, extending previous results by broadening the parameter range for regularity up to the boundary.

Contribution

It provides improved regularity results for steady shear thinning flows, especially expanding the range of the parameter p for which solutions are regular.

Findings

Enhanced boundary regularity results for shear thinning fluids.

Broader parameter range for solution regularity.

Improved mathematical understanding of p-Stokes systems.

Abstract

In this paper we study the regularity of weak solutions to systems of p-Stokes type, describing the motion of some shear thinning fluids in certain steady regimes. In particular we address the problem of regularity up to the boundary improving previous results especially in terms of the allowed range for the parameter p.