MATHEMATICA BOHEMICA, Vol. 126, No. 2, pp. 469-481, 2001

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.

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

Classification (MSC 2000): 35Q35, 35J35

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