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Local Well-Posedness and Regularity Criterion for the 3D Density-Dependent Incompressible Maxwell–Navier–Stokes System

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Abstract

In this paper, we prove the local well-posedness and regularity criterion of strong solutions to the 3D density-dependent incompressible Maxwell–Navier–Stokes system in a bounded and simply connected domain with vacuum.

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Acknowledgements

This work is partially supported by NSFC (No. 11971234). The authors are indebted to the referee for some nice suggestions and comments and thus Remark 1.1 and the appendix are added.

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Correspondence to Yong Zhou.

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Fan, J., Zhou, Y. Local Well-Posedness and Regularity Criterion for the 3D Density-Dependent Incompressible Maxwell–Navier–Stokes System. J Geom Anal 34, 226 (2024). https://doi.org/10.1007/s12220-024-01659-w

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