Partial regularity for steady double phase fluids

TL;DR

This paper investigates the partial regularity of solutions to nonlinear elliptic systems modeling steady double-phase non-Newtonian fluids, focusing on the regularity properties in divergence form with double-phase growth.

Contribution

It provides new partial regularity results for steady double-phase fluid models, extending the understanding of regularity in complex non-Newtonian fluid systems.

Findings

Established partial Hölder regularity for solutions

Extended regularity theory to double-phase growth conditions

Provided mathematical framework for double-phase fluid models

Abstract

We study partial H\"older regularity for nonlinear elliptic systems in divergence form with double-phase growth, modeling double-phase non-Newtonian fluids in the stationary case.