Geodesic
Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations
Applications of Mathematics, Tome 48 (2003) no. 6, pp. 573-586.

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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.
DOI : 10.1023/B:APOM.0000024495.20079.27
Classification : 35D10, 35Q30, 35Q35, 76D05
Keywords: Navier-Stokes equations; regularity of weak solutions; regular and singular points 
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     title = {Regularity of pressure in the neighbourhood of regular points of weak solutions of the {Navier-Stokes} equations},
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Skalák, Zdeněk; Kučera, Petr. Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations. Applications of Mathematics, Tome 48 (2003) no. 6, pp. 573-586. doi : 10.1023/B:APOM.0000024495.20079.27. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000024495.20079.27/

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