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Research Article | Open Access

Partial regularity for steady double phase fluids

Giovanni Scilla, Bianca Stroffolini( )
Department of Mathematics and Applications "R. Caccioppoli", University of Naples Federico Ⅱ, Via Cintia, Monte Sant'Angelo 80126 Napoli, Italy
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Abstract

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

Keywords

double-phaseNewtonian fluidsMorrey regularity

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Mathematics in Engineering
Volume 5 Issue 5,
October 2023
Pages 1-47
DOI: 10.3934/mine.2023088

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Scilla G, Stroffolini B. Partial regularity for steady double phase fluids. Mathematics in Engineering, 2023, 5(5): 1-47. https://doi.org/10.3934/mine.2023088

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Received: 09 November 2022
Revised: 21 March 2023
Accepted: 28 April 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)