Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations

Zdeněk Skalák; Petr Kučera

Applications of Mathematics (2003)

  • Volume: 48, Issue: 6, page 573-586
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Skalák, Zdeněk, and Kučera, Petr. "Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations." Applications of Mathematics 48.6 (2003): 573-586. <http://eudml.org/doc/33169>.

@article{Skalák2003,
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.},
author = {Skalák, Zdeněk, Kučera, Petr},
journal = {Applications of Mathematics},
keywords = {Navier-Stokes equations; regularity of weak solutions; regular and singular points; Navier-Stokes equations; regularity of weak solutions; regular and singular points},
language = {eng},
number = {6},
pages = {573-586},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations},
url = {http://eudml.org/doc/33169},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Skalák, Zdeněk
AU - Kučera, Petr
TI - Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 6
SP - 573
EP - 586
AB - 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.
LA - eng
KW - Navier-Stokes equations; regularity of weak solutions; regular and singular points; Navier-Stokes equations; regularity of weak solutions; regular and singular points
UR - http://eudml.org/doc/33169
ER -

References

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