Regularity criteria for Navier-Stokes-Allen-Cahn and related systems

Jishan FAN; Fucai LI

doi:10.1007/s11464-019-0757-9

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Front. Math. China ›› 2019, Vol. 14 ›› Issue (2) : 301-314. DOI: 10.1007/s11464-019-0757-9

RESEARCH ARTICLE

Regularity criteria for Navier-Stokes-Allen-Cahn and related systems

Jishan FAN¹ ,
Fucai LI²

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Abstract

We prove a regularity criterion for the 3D Navier-Stokes-Allen-Cahn system in a bounded smooth domain which improves the result obtained by Y. Li, S. Ding, and M. Huang [Discrete Contin. Dyn. Syst. Ser. B, 2016, 21(5): 1507–1523]. We also present a similar result to the 3D Navier-Stokes-Cahn-Hilliard system.

Keywords

Regularity criterion / Navier-Stokes-Allen-Cahn system / Navier-Stokes-Cahn-Hilliard system

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Jishan FAN, Fucai LI. Regularity criteria for Navier-Stokes-Allen-Cahn and related systems. Front. Math. China, 2019, 14(2): 301‒314 https://doi.org/10.1007/s11464-019-0757-9

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