Regularity criteria for Navier-Stokes-Allen-Cahn and related systems. (English) Zbl 1458.76116
Summary: 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 et al. [Discrete Contin. Dyn. Syst., Ser. B 21, No. 5, 1507–1523 (2016; Zbl 1346.76195)]. We also present a similar result to the 3D Navier-Stokes-Cahn-Hilliard system.
MSC:
| 76T99 | Multiphase and multicomponent flows |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 35Q35 | PDEs in connection with fluid mechanics |
Citations:
Zbl 1346.76195References:
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