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Regularity of Pressure in the Neighbourhood of Regular Points of Weak Solutions of the Navier-Stokes Equations

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Abstract

In the context of the weak solutions of the Navier-Stokes equations we study the regularity of the pressure and its derivatives in the space-time neighbourhood of regular points. We present some global and local conditions under which the regularity is further improved.

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Authors and Affiliations

  1. Institute of Hydrodynamics ASCR, Pod Paťankou 5, 166 12, Prague 6, Czech Republic

    Zdeněk Skalák

  2. Department of Mathematics, Faculty of Civil Engineering, Czech Technical University, Thákurova 7, 166 29, Prague 6, Czech Republic

    Petr Kučera

Authors
  1. Zdeněk Skalák
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  2. Petr Kučera
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Skalák, Z., Kučera, P. Regularity of Pressure in the Neighbourhood of Regular Points of Weak Solutions of the Navier-Stokes Equations. Applications of Mathematics 48, 573–586 (2003). https://doi.org/10.1023/B:APOM.0000024495.20079.27

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  • DOI: https://doi.org/10.1023/B:APOM.0000024495.20079.27

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