Partial regularity for steady double phase fluids

Giovanni Scilla; Bianca Stroffolini; Giovanni Scilla; Bianca Stroffolini

doi:10.3934/mine.2023088

Mathematics in Engineering

2023, Volume 5, Issue 5: 1-47. doi: 10.3934/mine.2023088

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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

Received: 09 November 2022 Revised: 21 March 2023 Accepted: 28 April 2023 Published: 12 May 2023

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.
- double-phase,
- Newtonian fluids,
- Morrey regularity
Citation: Giovanni Scilla, Bianca Stroffolini. Partial regularity for steady double phase fluids[J]. Mathematics in Engineering, 2023, 5(5): 1-47. doi: 10.3934/mine.2023088

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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.

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