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Zeitschrift für Analysis und ihre Anwendungen

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Volume 12, Issue 1, 1993, pp. 97–112
DOI: 10.4171/ZAA/578

Published online: 1993-03-31

Axially Symmetric Flow with Finite Cavities I

Friedemann Brock[1]

(1) Universität Leipzig, Germany

an obstacle is proved. The flow is either in a cylindrical pipe or an unbounded region and the cavity may be finite. The proof is based on a variational approach for a non-continuous func-tional. Essentially is the assumption that the obstacle is starlike with respect to some point on the axis of symmetry. This allows to apply the technique of symmetrization on the stream function.

Keywords: Non-continuous functionals, symmetrizations, axially symmetric flows

Brock Friedemann: Axially Symmetric Flow with Finite Cavities I. Z. Anal. Anwend. 12 (1993), 97-112. doi: 10.4171/ZAA/578