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Regularity Criterion for a Nonhomogeneous Incompressible Ginzburg-Landau-Navier-Stokes System

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Abstract

We prove a regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system with the Coulomb gauge in ℝ3. It is proved that if the velocity field in the Besov space satisfies some integral property, then the solution keeps its smoothness.

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Authors and Affiliations

  1. Department of General Education, Anhui Xinhua University, Hefei, 230088, Anhui, P. R. China

    Nana Pan

  2. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, P. R. China

    Jishan Fan

  3. School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, 519082, Guangdong, P. R. China

    Yong Zhou

  4. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, P. R. China

    Yong Zhou

Authors
  1. Nana Pan
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  2. Jishan Fan
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  3. Yong Zhou
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Corresponding author

Correspondence to Yong Zhou.

Additional information

The authors are indebted to the referees for careful reading of the manuscript and helpful suggestions. This work is partially supported by NSFC (No. 11971234) and University Natural Science Research Project in Anhui Province (No. KJ2017A622).

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Pan, N., Fan, J. & Zhou, Y. Regularity Criterion for a Nonhomogeneous Incompressible Ginzburg-Landau-Navier-Stokes System. Appl Math 66, 373–382 (2021). https://doi.org/10.21136/AM.2020.0298-19

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  • DOI: https://doi.org/10.21136/AM.2020.0298-19

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