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A Note on Blow-up Criterion of Strong Solutions for the 3D Inhomogeneous Incompressible Navier-Stokes Equations with Vacuum

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Abstract

In this paper, we study the three-dimensional inhomogeneous incompressible Navier-Stokes equations, and establish several regularity criteria in terms of only velocity which allow the initial density to contain vacuum. Therefore, our results can be considered as further improvement to the previous results.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, People’s Republic of China

    Zhuan Ye & Xiaojing Xu

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  1. Zhuan Ye
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  2. Xiaojing Xu
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Correspondence to Zhuan Ye.

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Ye, Z., Xu, X. A Note on Blow-up Criterion of Strong Solutions for the 3D Inhomogeneous Incompressible Navier-Stokes Equations with Vacuum. Math Phys Anal Geom 18, 24 (2015). https://doi.org/10.1007/s11040-015-9193-6

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  • DOI: https://doi.org/10.1007/s11040-015-9193-6

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