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Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component

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Abstract

In this paper, we show that a weak solution to 3D shear-thinning flows becomes strong provided that the gradient of one component of velocity belongs to a certain Lebesgue space class.

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Authors and Affiliations

  1. University of Science, Pyongyang, Democratic People’s Republic of Korea

    ChungGuk Kim & Jisong Pak

  2. Institute of Mathematics, State Academy of Sciences, Pyongyang, Democratic People’s Republic of Korea

    Cholmin Sin

  3. Voronezh State University, Voronezh, Russia

    Evgenii S. Baranovskii

Authors
  1. ChungGuk Kim
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  2. Jisong Pak
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  3. Cholmin Sin
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  4. Evgenii S. Baranovskii
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Kim, C., Pak, J., Sin, C. et al. Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component. Z. Angew. Math. Phys. 75, 69 (2024). https://doi.org/10.1007/s00033-024-02210-1

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  • DOI: https://doi.org/10.1007/s00033-024-02210-1

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