TY - JOUR
T1 - A Regularity Criterion for the 3D Incompressible Density-dependent Navier-Stokes-Allen-Cahn Equations
AU - Zhang , Jianlin
JO - Journal of Partial Differential Equations
VL - 2
SP - 116
EP - 123
PY - 2016
DA - 2016/07
SN - 29
DO - http://doi.org/10.4208/jpde.v29.n2.3
UR - https://global-sci.org/intro/article_detail/jpde/5083.html
KW - Navier-Stokes equations
KW - Allen-Cahn equation
KW - regularity criterion
KW - BMO space
AB -  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].