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A New Pressure Regularity Criterion of the Three‐Dimensional Micropolar Fluid Equations

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  • Junbai Ren

Abstract

This paper concerns the regularity criterion of the weak solutions to the three‐dimensional (3D) micropolar fluid equations in terms of the pressure. It is proved that if one of the partial derivatives of pressure satisfies ∂3π ∈ Lp(0, T; Lq(R3)) with 2/p + 3/q ≤ 2, 3

Suggested Citation

  • Junbai Ren, 2013. "A New Pressure Regularity Criterion of the Three‐Dimensional Micropolar Fluid Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:262131
    DOI: 10.1155/2013/262131
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    References listed on IDEAS

    as
    1. Yan Jia & Jing Zhang & Bo-Qing Dong, 2012. "Logarithmical Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations in terms of the Pressure," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, July.
    2. Fengjun Guo, 2012. "Remarks on the Pressure Regularity Criterion of the Micropolar Fluid Equations in Multiplier Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, December.
    3. Fengjun Guo, 2012. "Remarks on the Pressure Regularity Criterion of the Micropolar Fluid Equations in Multiplier Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Yan Jia & Jing Zhang & Bo-Qing Dong, 2012. "Logarithmical Regularity Criteria of the Three‐Dimensional Micropolar Fluid Equations in terms of the Pressure," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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