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

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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].

Keywords:

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

10.4208/jpde.v29.n2.3

How to Cite

A Regularity Criterion for the 3D Incompressible Density-dependent Navier-Stokes-Allen-Cahn Equations. (2016). Journal of Partial Differential Equations, 29(2), 116-123. https://doi.org/10.4208/jpde.v29.n2.3
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