A Regularity Criterion for the 3D Incompressible Density-dependent Navier-Stokes-Allen-Cahn Equations

Authors

  • Jianlin Zhang College of Information Science and Technology, Donghua University, Shanghai 201620, China

DOI:

https://doi.org/10.4208/jpde.v29.n2.3

Keywords:

Navier-Stokes equations;Allen-Cahn equation;regularity criterion;BMO space

Abstract

In this paper, we study the initial boundary problem for 3D incompressible density-dependent Navier-Stokes-Allen-Cahn equations, and give a regularity criterion for local strong solutions. Our result refines the blow-up criterion in [1].

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Published

2016-07-05

Issue

Vol. 29 No. 2 (2016)

Section

Articles

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