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

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

Year:    2016

Author:    Jianlin Zhang

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 2 : pp. 116–123

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 2 : pp. 116–123

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Navier-Stokes equations

Author Details

Jianlin Zhang

  1. Exponential stability of a diffuse interface model of incompressible two-phase flow with phase variable dependent viscosity and vacuum

    Li, Yinghua

    Xie, Manrou

    Yan, Yuanxiang

    Journal of Differential Equations, Vol. 414 (2025), Iss. P.842

    https://doi.org/10.1016/j.jde.2024.09.036 [Citations: 0]