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MATHEMATICA BOHEMICA, Vol. 126, No. 2, pp. 469-481 (2001)
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# Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component

## Jiri Neustupa, Milan Pokorny

* Jiri Neustupa*, Czech Technical University, Department of Technical Mathematics, Karlovo nam. 13, 121 35 Praha 2, Czech Republic, e-mail: ` neustupa@ marian.fsik.cvut.cz`; * Milan Pokorny*, Palacky University, Faculty of Science, Department of Mathematical Analysis and Applications of Mathematics, Tomkova 40, 772 00 Olomouc, Czech Republic, e-mail: ` pokorny@risc.upol.cz`

**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. \endabstract

**Keywords:** axisymmetric flow, Navier-Stokes equations, regularity of systems of PDE's

**Classification (MSC2000):** 35Q35, 35J35

**Full text of the article:**

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