EMIS ELibM Electronic Journals Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 3, pp. 639-649 (1999)

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On Axially Symmetric Flows in R$^3$

S. Leonardi, J. Málek, J. Ne{\v c}as and M. Pokorný

S. Leonardi: Univ. Catania, Dept. Math., Viale A. Doria 6, 95125 Catania, Italy; \ e-mail: leonardi@dipmat.unict.it; J. Málek: Math. Inst. Charles Univ., Sokolovská 83, 186 75 Praha 8, Czech Republic; \ e-mail: malek@karlin.mff.cuni.cz; J. Ne{\v c}as: Math. Inst. Charles Univ., Sokolovská 83, 186 75 Praha 8, Czech Republic & Northern Illinois Univ., Dept. Math. Sci., DeKalb, Illinois 60115, USA; \ e-mail: necas@karlin.mff. cuni.cz & necas@math.niu.edu; M. Pokorný: Palacký Univ., Dept. Math. Anal. and Appl. Math., Tomkova 40, 779 00 Olomouc, Czech Republic; \ e-mail: pokorny@risc.upol.cz

Abstract: We prove in a simpler as ususal way global-in-time existence of regular solutions to three-dimensional Navier-Stokes equations under the assumption that the flow is axially symmetric.

Keywords: navier-Stokes equations, axially symmetric flows, regularity of solution, Cauchy problem in three dimensions

Classification (MSC2000): 35Q35, 35J65

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Electronic fulltext finalized on: 7 Aug 2001. This page was last modified: 9 Nov 2001.

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