Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component

Jiří Neustupa; Milan Pokorný

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 2, page 469-481
  • ISSN: 0862-7959

Abstract

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We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.

How to cite

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Neustupa, Jiří, and Pokorný, Milan. "Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component." Mathematica Bohemica 126.2 (2001): 469-481. <http://eudml.org/doc/248855>.

@article{Neustupa2001,
abstract = {We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.},
author = {Neustupa, Jiří, Pokorný, Milan},
journal = {Mathematica Bohemica},
keywords = {axisymmetric flow; Navier-Stokes equations; regularity of systems of PDE’s; axisymmetric flow; Navier-Stokes equations; regularity of systems of PDE's},
language = {eng},
number = {2},
pages = {469-481},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component},
url = {http://eudml.org/doc/248855},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Neustupa, Jiří
AU - Pokorný, Milan
TI - Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 2
SP - 469
EP - 481
AB - We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.
LA - eng
KW - axisymmetric flow; Navier-Stokes equations; regularity of systems of PDE’s; axisymmetric flow; Navier-Stokes equations; regularity of systems of PDE's
UR - http://eudml.org/doc/248855
ER -

References

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  11. Un teorema di unicità per el equazioni di Navier-Stokes, Ann. Mat. Pura Appl. 48 (1959), 173–182. (1959) MR0126088
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