Frontiers of Mathematics in China >

2019 , Vol. 14 >Issue 2: 301 - 314

DOI: https://doi.org/10.1007/s11464-019-0757-9

RESEARCH ARTICLE

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

  • Jishan FAN 1 ,
  • Fucai LI , 2
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  • 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
  • 2. Department of Mathematics, Nanjing University, Nanjing 210093, China

Received date: 02 Apr 2018

Accepted date: 26 Feb 2019

Published date: 15 Apr 2019

Copyright

2019 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
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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.

Key words： Regularity criterion; Navier-Stokes-Allen-Cahn system; Navier-Stokes-Cahn-Hilliard system

Cite this article

Jishan FAN , Fucai LI . Regularity criteria for Navier-Stokes-Allen-Cahn and related systems[J]. Frontiers of Mathematics in China, 2019 , 14(2) : 301 -314 . DOI: 10.1007/s11464-019-0757-9

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